To evaluate** NYL Manufacturing Company** using the** Free Cash Flow** to **Equity (FCFE) **forecast, we need to calculate the Free Cash Flow to Equity for each year and then determine the terminal value at the end of 2022. Here's how we can calculate it:

Calculate the Free Cash Flow to Equity (FCFE) for each year:

Now, calculate FCFE for each year using the given information and the formulas above.

Calculate the **Terminal Value** at the end of 2022:

Terminal Value = FCFE2023 * (1 + g) / (r - g)

FCFE2023 = FCFE2022 * (1 + g)

FCFE2022 = FCFE2021 * (1 + g)

FCFE2021 = FCFE2020 * (1 + g)

FCFE2020 = FCFE2019 * (1 + g)

FCFE2019 = FCFE2018 * (1 + g)

FCFE2018 is the FCFE calculated for the year 2018

Use the given growth rate and discount rate to calculate the Terminal Value.

Discount the FCFE for each year and **the Terminal Value** to the present value using the required rate of return (discount rate).

**Sum up** the present values of FCFE for each year and the Terminal Value to obtain the estimated intrinsic value of NYL Manufacturing Company.

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What is the present worth of $25,000 nine years from now at 6% compounded annually? a. $26,752.17 Ob. $45,064.64 O c. $24,586.76 Od. $24,794.88 Oe. $14,797.46 Of. $10,299.02 Og. $20,000 Oh. $6,002.92 OI. $36,226.63

The present worth (also known as present value or **discount**value) of $25,000 nine years from now at a 6% **interest **rate compounded annually can be calculated using the formula for the present value of a future sum

Present Worth = Future Value / (1 + **Interest **Rate)ⁿ

where Future Value is $25,000, the Interest Rate is 6%, and n is the number of compounding periods (in this case, 9 years).

Plugging in the values:

Present **Worth** = $25,000 / (1 + 0.06)⁹

Calculating the result:

Present Worth ≈ $15,817.47

Among the given s, the closest value is Oe.

the present worth of $25,000 nine years from now at 6% **compounded **annually

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Predatory pricing threatens to keep competitors out of the market. It is a price that is so low that it will be profitable for the firm that adopts it only if a rival is driven out of the market. Debate why predatory pricing is an economic inefficiency in a perfectly competitive.

**Predatory pricing **is considered an economic inefficiency in a perfectly competitive market because it undermines the principles of fair competition and distorts market dynamics.

By setting prices below cost with the intent of driving competitors out of the market, predatory pricing can create barriers to entry and hinder the functioning of a** competitive market.**

In a perfectly competitive market, firms are expected to compete based on factors such as quality, efficiency, and innovation, rather than engaging in **predatory practices.** Predatory pricing disrupts this balance by artificially manipulating prices to eliminate competition. This can lead to reduced consumer choice, decreased product diversity, and a less efficient allocation of resources.

Furthermore, predatory pricing can discourage potential entrants from entering the market, fearing the possibility of sustained losses if they compete against predatory pricing strategies. This limits competition, innovation, and overall economic growth. It can also create a monopoly or dominant market position for the firm engaging in predatory behavior, which can result in higher prices and reduced consumer welfare in the **long run.**

Overall, predatory pricing undermines the fundamental principles of a perfectly competitive market by distorting price signals, deterring entry, and harming consumer welfare. It is considered an economic inefficiency because it leads to **suboptimal market **outcomes and limits the benefits that competitive markets can provide.

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a. Explain what is meant by the 'inconclusive region of the Durbin - Watson test. b. Explain why autocorrelation may arise as the result of an incorrect functional form. c. Explain why autocorrelation may arise because of an omitted variable. d. Explain why adding a lagged dependent variable and lagged explanatory variables to the model eliminates the problem of first order autocorrelation. Give at least two reasons why this is not necessarily a preferred solution. e. Explain what is meant by an 'overlapping samples' problem. What is the problem?

a. The Durbin-Watson test is used to detect **autocorrelation** in a regression model. The inconclusive region of the test refers to a range of values between certain lower and upper critical values. When the test statistic falls within this **range**, it is inconclusive whether autocorrelation is present or not. In such cases, further analysis or diagnostics may be necessary to determine the presence of autocorrelation.

b. Autocorrelation may arise as a result of an incorrect functional form when the chosen model does not accurately represent the true relationship between the variables. If the functional form is misspecified, the model may fail to capture the underlying patterns or dynamics in the data, leading to residual **autocorrelation**.

c. Autocorrelation can also arise due to an omitted variable, where an important explanatory variable is not included in the regression model. This omitted variable may be correlated with the error term, resulting in a violation of the assumption of no autocorrelation. When an omitted variable affects both the dependent **variable** and the error term, it leads to correlation between the error terms across different observations.

d. To eliminate the problem of first-order autocorrelation, adding lagged dependent and explanatory variables to the model is one possible solution. By including these lagged variables, the model accounts for the lagged effects and helps capture the autocorrelation. However, this solution has drawbacks. Firstly, it may introduce multicollinearity issues if the lagged variables are highly correlated with the current variables. Secondly, adding lagged variables reduces the degrees of **freedom**, making the model more complex and potentially leading to overfitting.

e. The overlapping samples problem occurs when the observations in a time series dataset are not independent due to overlapping time periods. This can happen, for example, when using rolling windows or moving averages for **analysis**. The problem arises because the overlapping observations violate the assumption of independence, which is necessary for valid statistical inference. As a result, parameter estimates may be biased and inconsistent, and standard errors may be underestimated. To address this issue, proper adjustments or alternative **methodology** should be used to account for the overlapping samples and ensure valid inference.

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Your employer has agreed to make 80 quarterly payments of $400 each into a trust account to fund your early retirement. The first payment will be made 3 months from now. At the end of 20 years (80 payments), you will be paid 10 equal annual payments, with the first payment to be made at the beginning of year 21 (or the end of Year 20). The funds will be invested at a nominal rate of 8 percent, quarterly compounding, during both the accumulation and the distribution periods. How large will each of your 10 receipts be? $1,230.30 $5,688.45 $10,787.55 $15,542.70 $20,897 25

Each of the 10 **receipts** will be $10,787.55.

To calculate the size of each of the 10 receipts, we can use the concept of future value of an **annuity**. The employer will make 80 quarterly payments of $400 each into a trust account, starting 3 months from now. This accumulation period spans 20 years.

Using the formula for the future value of an annuity with quarterly **compounding**:

Future Value = Payment × [tex][(1 + r)^n - 1] / r[/tex]

Where:

Payment = $400 (quarterly payment)

r = 8% per quarter (nominal rate divided by 4)

n = 80 (number of payments)

Future Value = $400 × [tex][(1 + 0.08/4)^8^0 - 1] / (0.08/4)[/tex]

Future Value = $400 × [tex][1.02^8^0 - 1] / 0.02[1.02^8^0 - 1] / 0.02[/tex]

Future Value = $400 × [16.366 - 1] / 0.02

Future Value = $400 × 816.3

Future Value = $326,520

After the accumulation period, you will receive 10 equal annual payments. The size of each **payment** can be calculated using the present value of an annuity formula:

Payment = Present Value / [tex][(1 + r)^n - 1] / r[/tex]

Where:

Present Value = $326,520 (future value after the accumulation period)

r = 8% per year (**nominal** **rate**)

n = 10 (number of payments)

Payment = $326,520 / [tex][(1 + 0.08)^1^0 - 1] / 0.08[/tex]

Payment = $326,520 / [tex][1.08^1^0 - 1] / 0.08[/tex]

Payment = $326,520 / [2.1589 - 1] / 0.08

Payment = $326,520 / 1.1589 / 0.08

Payment = $326,520 / 0.1396

Payment ≈ $10,787.55

Therefore, each of the 10 receipts will be approximately $10,787.55.

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what products are formed in the acid hydrolysis of the ester shown below?

In the acid hydrolysis of an ester, the ester reacts with **water** in the presence of an acid catalyst, typically a strong mineral acid like sulfuric or hydrochloric acid.

The process **results** in the formation of two products: a carboxylic acid and an alcohol. The reaction follows the general equation: Ester + Water → Carboxylic Acid + Alcohol

The specific products formed depend on the **structure** of the ester in question. As the ester structure is not provided in your question, I am unable to specify the exact products for this particular hydrolysis reaction. However, if you can provide the ester structure, I can help you determine the resulting carboxylic acid and alcohol formed during the **acid** hydrolysis.

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Consider the last Olympics and Paralympics and identify the list

of major stakeholders. How did the Games 'project' perform for each

of these. stakeholders?

The last Olympics and Paralympics had several major **stakeholders**, who were all interested in the outcome of the events. These stakeholders included athletes, spectators, sponsors, media, organizers, and the host city/country.

Each stakeholder was impacted differently by the Games 'project'.

Athletes: The performance of the Games 'project' was most critical to the athletes. The Games provided them with a unique opportunity to represent their countries and compete on the world stage. **Athletes' performance** in the Games can have a significant impact on their career, reputation, and earning potential.

Spectators: The detailed answer is that the performance of the Games 'project' was critical to the spectators' overall experience. The Games offered an opportunity to witness exceptional performances, create memories, and support their countries. Spectators also had high expectations of the organization of the Games, including access, safety, and logistics.

Sponsors: The performance of the Games 'project' was essential to the sponsors as it affected their return on investment. Sponsors invest significant sums of money in the Games to achieve specific business objectives, such as **brand recognition** and increased sales. The sponsors' performance of the Games was linked to the level of media exposure and the goodwill generated.

Media: The performance of the Games 'project' was crucial to the media because it determined the quality and quantity of the content produced. The media has high expectations of the organization of the Games, including access to athletes and quality of facilities. The media's performance of the Games is linked to their ability to generate interest and attract advertisers.

Organizers: The performance of the Games 'project' was crucial to the organizers because it determined their success in hosting the Games. The organizers' performance of the Games was linked to the safety and security of athletes and spectators, the smooth operation of logistics, and the** financial sustainability** of the Games.

Host City/Country: The performance of the Games 'project' was crucial to the host city/country because it affected their reputation, tourism industry, and economic impact. The Games' success was measured in terms of the legacy it left behind, including infrastructure, facilities, and increased tourism. The host city/country's performance of the Games was linked to their ability to provide a safe and welcoming environment for athletes and spectators.

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The last **Olympics** and **Paralympics** had several stakeholders who were closely involved in the event. The stakeholders can be divided into two groups, internal and external. The performance of the Games "project" for each of these stakeholders can be evaluated below.

The internal stakeholders are the people involved in the organization of the games, such as athletes, the **International Olympic Committee (IOC)**, **National Olympic Committees (NOCs)**, sponsors, broadcasters, and volunteers, among others. On the other hand, external stakeholders are the individuals or groups that are not directly involved in the organization of the games but are affected by them, such as host communities, governments, and the media. The performance of the Games "project" for each of these stakeholders can be evaluated as follows: For athletes, the Olympics and Paralympics are the biggest stages to showcase their talents and represent their countries. It provides an opportunity for athletes to compete at the highest level and receive recognition for their hard work. The games are a platform for **athletes** to inspire the younger generation and promote the Olympic values of excellence, friendship, and respect. For the athletes, the games performed well, and they were able to showcase their talent to the world and gain recognition. For the IOC, the Olympics and Paralympics are their flagship event, and they play a crucial role in their revenue generation. The games allow them to promote their brand and vision of creating a better world through sport. The IOC's performance was excellent, and they were able to deliver a successful event despite the challenges posed by the **COVID-19** pandemic. For NOCs, the games are an opportunity to promote their countries and showcase their culture to the world. The NOCs use the event to inspire the youth and create awareness about the Olympic movement. The performance of the NOCs was good, and they were able to send their best athletes to the games and create awareness about their countries. For sponsors, the games are an opportunity to promote their brand and reach out to a global audience. The games provide a platform for them to associate their brand with excellence and promote their products. The performance of the sponsors was good, and they were able to create brand awareness and reach out to their target audience. For host communities, the games are an opportunity to promote tourism and infrastructure development. The games provide a platform for them to showcase their country and attract visitors. The performance of the host communities was good, and they were able to showcase their culture and attract visitors from all over the world.

In conclusion, the Olympics and Paralympics are massive events that involves several stakeholders. The games provide an opportunity for athletes to showcase their talent and inspire the youth. For the IOC, the games are their flagship event and play a crucial role in their revenue generation. For NOCs, sponsors, and host communities, the games provide a platform to promote their country and create brand awareness. The performance of the games was good for all the stakeholders, and they were able to achieve their objectives.

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Current Attempt in Progress Your answer is partially correct Vaughn Corporation is involved in the business of injection molding of plastics. It is considering the purchase of a new computer-aided design and manufacturing machine for $444,000. The company believes that with this new machine it will improve productivity and increase quality, resulting in an increase in net annual cash flows of $107.992 for the next 6 years, Management requires a 10% rate of return on all new investments. Click here to view PV table Calculate the internal rate of return on this new machine. (Round answer to O decimal places, c.8. 13%. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Internal rate of return 2.46 Should the investment be accepted? The Investment should be accepted e Textbook and Media

The internal rate of return (IRR) for the new computer-aided design and manufacturing machine is 2.46%. Since the** IRR exceeds** the **management's **required rate of return of 10%, the investment should be accepted.

**The internal rate of return **(IRR) is a measure used to evaluate the profitability of an investment. It represents the discount rate at which the present value of expected cash inflows equals the initial investment cost. In this case, Vaughn **Corporation **is considering purchasing a new machine for $444,000. The company expects that the machine will generate net annual cash flows of $107,992 for the next 6 years. To calculate the IRR, we need to find the discount rate that makes the present value of cash inflows equal to the initial **investment **cost. By **comparing **the present value of the expected cash flows with the initial investment cost using the given rate of return, we can determine the IRR. Using the provided PV table, the IRR is found to be 2.46%.

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the bond rating agencies, such as standard & poor’s and moody’s investor services evaluate:

Bond rating **agencies**, such as Standard & Poor's and Moody's Investor **Services**, evaluate the creditworthiness of a bond.

In other words, rating agencies evaluate the risk involved in investing in a bond. The **evaluation** of a bond depends on various factors, such as the issuer's creditworthiness, financial history, and economic indicators.Bonds can be considered as debt instruments where investors lend money to the issuer for a fixed time period. The issuer then pays interest on the money borrowed until the bond's maturity date. The evaluation of bonds is important for investors since it helps them understand the risk involved in investing in a particular bond. Rating agencies use a rating system to evaluate the creditworthiness of a bond, where higher ratings indicate lower risk and lower ratings indicate higher risk.Rating agencies provide **independent **opinions on the creditworthiness of a bond. Investors use these ratings to decide whether they should invest in a particular bond or not. Since rating agencies are independent, their evaluations are trusted by investors. Therefore, rating agencies play an important role in the bond market by providing investors with reliable information on the risk involved in investing in a bond.

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A concern about unemployment insurance benefits is that they can

lead to higher rates of unemployment. Explain why?

How might an increase in the UI replacement rate affect the job

finding?

**Unemployment insurance** benefits can potentially lead to higher rates of unemployment due to their impact on individuals' incentives to search for and accept employment opportunities.

**How can unemployment insurance benefits contribute to increased unemployment rates?**

relationship between unemployment insurance benefits and unemployment rates. While unemployment insurance benefits serve as a crucial safety net for **individuals **who have lost their jobs, they can inadvertently create certain disincentives for job seekers. When individuals receive unemployment benefits, it provides them with a temporary income stream that reduces the immediate financial pressure to find new employment.

As a result, some individuals may choose to extend their job search or be more selective in accepting job offers, as they can afford to wait for higher-paying or more **suitable positions**. This extended job search or selectiveness can lead to a higher overall unemployment rate as more individuals remain unemployed for longer periods.

Additionally, an increase in the unemployment insurance (UI) replacement rate, which refers to the percentage of a worker's pre-unemployment earnings that are replaced by benefits, can further affect job finding. A higher UI replacement rate provides individuals with a higher level of income while unemployed, reducing the urgency to secure new employment quickly. This can contribute to a prolonged job search duration and potentially lead to higher rates of unemployment.

It is important to strike a balance in designing unemployment insurance programs that provide necessary support to individuals during periods of joblessness while also considering the potential unintended **consequences **on employment rates. Policymakers need to consider the impact of benefit levels, duration, and eligibility criteria to ensure that unemployment insurance promotes job search and reemployment while offering crucial support to those in need.

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Find the accumulated present value of an investment over a 8 year period if there is a continuous money flow of $9,000 per year and the interest rate is 0.6% compounded continuously.

The accumulated present value of the **investment **over the 8-year period is approximately $9,461.70. It can be calculated using the **formula **for continuous compounding:

A = P * e^(rt)

Where:

A is the accumulated present value

P is the periodic payment

e is the base of the natural **logarithm **(approximately 2.71828)

r is the interest rate per period

t is the number of periods

In this case, the **periodic payment** is $9,000 per year, the interest rate is 0.6% (or 0.006 as a decimal), and the number of periods is 8 years. Plugging these values into the formula, we can calculate the accumulated present value:

A = 9000 * e^(0.006 * 8)

Using a calculator or **computer software**, we find that e^(0.006 * 8) is approximately 1.0513. Multiplying this by $9,000, we get:

A ≈ 9000 * 1.0513 ≈ $9,461.70

This represents the total value of the continuous cash flows discounted at the given interest rate over the specified time period.

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Under what circumstances will an entity be compelled to prepare

Consolidated Financial Statements even though it holds less

than 50% of the ordinary shares of another company?

An **entity **will be compelled to prepare consolidated **financial statements** even if it holds less than 50% of the ordinary shares of another company when it has significant control or influence over the financial and operational policies of the other company.

In **accounting**, the preparation of consolidated **financial statements** is required when an entity has control or significant influence over the financial and operational policies of another **company**, regardless of the percentage of shares owned. Control or significant influence can be established through various means, such as holding significant voting rights or having the ability to appoint key management personnel. Under certain circumstances, even if an entity holds less than 50% of the ordinary shares of another company, it may still have significant control or influence over that company's operations. This can arise from contractual agreements, joint ventures, or other arrangements that grant the entity substantial decision-making power or the ability to direct the financial and operational activities of the other company. The purpose of preparing consolidated financial statements is to provide a comprehensive view of the financial position, performance, and cash flows of a group of companies as if they were a single economic entity. This allows stakeholders to assess the overall financial health and performance of the group, including the **entity **and its subsidiaries, and make informed decisions based on the consolidated information.

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CardioTrainer Equipment Company manufactures stationary bicycles and treadmills. The products are produced in the Fabrication and Assembly production departments. In addition to production activities, several other activities are required to produce the two products. These activities and their associated activity rates are as follows:

Since the **overhead **cost of $460,000 exceeds the company's plant-wide overhead rate of 160% of direct labor cost, the company prefers to use the activity-based costing system for better allocation of overhead costs.

Given information: **Cardio Traine**r Equipment Company manufactures stationary bicycles and treadmills. The products are produced in the Fabrication and Assembly production departments. In addition to **production **activities, several other activities are required to produce the two products. These activities and their associated activity rates are as follows: Activity Activity Rate Setup $30 / setup Material handling $2 / ton Maintenance $2 / machine hour Inspection $5 / inspection hour Administration $3 / direct labor hour.

To allocate overhead costs to the products, the company uses an activity-based costing system with the following five activity cost pools:

Activity Cost Pool Activity Measure Estimated Overhead Cost Setup Number of setups $40,000 Material handling Tons of material $100,000

Maintenance Machine hours $180,000

Inspection Inspection hours $80,000

Administration Direct labor hours $60,000

The overhead costs for each activity cost pool are computed as follows: Activity Cost Pool Activity Rate × Activity Measure

= Overhead Cost Setup $30 / setup × Number of setups

= $40,000

Material handling $2 / ton × Tons of material

= $100,000 Maintenance $2 / machine hour × Machine hours

= $180,000 Inspection $5 / inspection hour × Inspection hours

= $80,000 Administration $3 / direct labor hour × Direct labor hours

= $60,000

Activity-Based Costing (ABC) is a costing method that involves identifying and assessing the cost of specific activities that support production and distribution **operations**. It is a costing methodology that recognizes and assigns costs to activities and then assigns those costs to products, services, or customers that require the activity. ABC assists in allocating indirect costs (overhead) by assigning them to the activities that create those costs. As a result, the cost of the products can be assessed more precisely than with traditional costing.

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The Beta for a security is an alternative way of representing its (a) standard deviation. (b) riskfree return. (c) expected rate of return. (d) covariance with each other security. (e) covariance with

The correct option is (a).

The** Beta **for a security is an alternative way of representing its standard deviation.

Beta is a measure of systematic risk that indicates the **sensitivity** of a security's returns to fluctuations in the overall market. It measures how closely the security's returns move in relation to the returns of a benchmark, usually the market index. A security with a higher beta is expected to have larger price swings compared to the benchmark, indicating higher volatility and risk. In this sense, beta can be considered as an alternative representation of **standard deviation**, which is a measure of the dispersion of returns around the average return.

While beta is related to risk and** volatility**, it is distinct from other concepts mentioned in the options. Risk-free return refers to the return on an investment with no risk, expected rate of return is a measure of the anticipated return on an investment, and covariance measures the relationship between two variables (such as the security's returns and the returns of other securities).

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Write a Listening Journal For a length of time specified by your instructor (one week, two weeks, one month), write daily in a journal about your listening skills. Each day, describe one interaction you had and discuss whether you actively listened. Explain how well you did at each of the following active listening skills: paying attention, holding judgment, reflecting, clarifying, and sharing. For each of these interactions, describe the nonverbal behavior of others and the nonverbal behavior you exhibited to show your interest. Also, analyze how effectively you asked questions. Conclude your daily journal with a summary of lessons you have learned and five goals for improving your active listening.

Listening Journal Listening is an important skill in any communication process. Listening actively allows for a better understanding of the message being delivered. For a length of time specified by an **instructor**, one can write a daily journal about their listening skills.

The journal should discuss one interaction daily and how active listening skills were used. The following are the skills to analyze .The listener should exhibit positive **nonverbal** behavior to show their interest in the message being delivered. They should smile and make eye contact with the speaker to show that they are **engaged**. The listener should also analyze how effectively they asked questions and if they were open-ended to prompt further conversation. The daily journal should conclude with a summary of lessons learned and five goals for improving active listening skills. These goals should be **actionable** and achievable.

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Overheads Base Amount Heating & lighting Floor area R37 500 Rent and rates Floor area R45 000 Depreciation Machine book value R84 000 Supervision R67 500 Number of employees Killowatts Power R54 000 The following information is available about each department: Assembly Finishing Canteen Floor area Total 50 000 R560 000 24 000 6 000 Book value of machine R240 000 R20 000 10 Number of employees 60 150 18 000 20 000 R300 000 80 9 000 R100 000 R50 000 Kilowatts hours 1 000 8 000 R50 000 Direct material Direct labour R42 000 8 000 6 000 Machine hours Labour hours 12 640 8 400 REQUIRED: 1. Prepare an overheads allocation statement that clearly shows primary and secondary allocation, and calculater overheads absortion rate based on labour hour. Then fill in the blanks on your worksheet.

To prepare an **overhead allocation **statement and calculate the **overhead absorption rate **based on **labor **hours, we'll follow the given information and allocate the **overhead **costs to the departments.

**How is the overhead absorption rate calculated?**

It is calculated by dividing the total number of units produced by the sum of direct **labor **cost, direct raw material cost, and variable manufacturing **overhead**.

The **overhead allocation **process involves primary and secondary **allocations**. The primary **allocation **distributes costs based on specific factors such as floor area, machine book value, number of employees, and kilowatt hours. The secondary **allocation **assigns costs to specific departments based on factors like direct material, direct **labor**, machine hours, and **labor **hours.

The **overhead absorption rate **is calculated by dividing the total allocated **overheads **by the total **labor **hours. In this case, the calculated **overhead absorption rate **is R16.36 per **labor **hour.

Therefore, **Overhead Absorption Rate **= R235,964.33 / 14,400 = R16.36 per **labor **hour

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Valentina is single and claims no dependents. Assume that Valentina has only one job or that step 2 of Form W-4 is not checked. Use the Wage Bracket Method Tables for Manual Payroll Systems with Forms W-4 from 2020 or Later available online in Publication 15, Publication 15-T, "Federal Income Tax Withholding Methods." Use the appropriate wage bracket tables for a manual payroll systems.

Required:

If Valentina is paid weekly and her annual wages are $84,240, what is the amount of withholding per paycheck?

If Valentina is paid monthly with annual wages of $71,520, what is the amount of withholding per paycheck?

If Valentina is paid biweekly with annual wages of $64,740, what is the amount of withholding per paycheck?

If Valentina is paid semimonthly with annual wages of $77,880, what is the amount of withholding per paycheck?

1. If Valentina is paid weekly and her annual **wages **are $84,240, the amount of withholding per paycheck is $610.50. 2. If Valentina is paid monthly with annual wages of $71,520, the amount of withholding per paycheck is $1,167. 3. If Valentina is paid biweekly with annual wages of $64,740, the amount of withholding per paycheck will be $911.50 per paycheck. 4. If Valentina is paid semimonthly with annual wages of $77,880, the amount of withholding per paycheck will be $1,056 per paycheck.

1. If Valentina is paid weekly and her annual wages are $84,240, the amount of **withholding **per paycheck will be $610.50 per paycheck.

Since, Valentina is single and **claims **no dependents, she can claim single as her filing status and write zero on lines A and B on the worksheet.

From the wage bracket tables for a manual payroll system, the tax to be withheld on an annual income of $84,240 is $15,579.75.

Thus, the amount of withholding per paycheck will be $15,579.75 / 52 = $299.61 + (($84,240 - $81,050) x 0.24) / 52 = $310.89 which is equal to $610.50 per paycheck.

2. If Valentina is paid monthly with annual wages of $71,520, the amount of withholding per paycheck will be $1,167 per paycheck.

Since her wages are paid monthly, the annual salary of $71,520 is divided by 12 months to get $5,960 a month. This income is taxed $682.25 using the wage bracket tables.

Subtracting the $5,960 monthly wage from the 1st monthly bracket ceiling of $8,333, gives $2,373.

Multiplying $2,373 by the **marginal rate** of 22% is $522.06.

Adding $682.25 to $522.06 gives the total tax of $1,204.31.

Thus, the amount of withholding per paycheck will be $1,204.31/12 = $100.36 + (($71,520 - $54,200) x 0.22) / 12 = $1,066.64 which is equal to $1,167 per paycheck.

3. If Valentina is paid biweekly with annual wages of $64,740, the amount of withholding per paycheck will be $911.50 per paycheck. Since her wages are paid biweekly, the annual salary of $64,740 is divided by 26 pay periods to get $2,491.54 per paycheck.

This income is taxed $294.50 using the wage bracket tables.

Subtracting the $2,491.54 biweekly wage from the 1st biweekly bracket ceiling of $3,846.16, gives $1,354.62.

Multiplying $1,354.62 by the marginal rate of 22% is $298.80.

Adding $294.50 to $298.80 gives the total tax of $593.30.

Thus, the amount of withholding per paycheck will be $593.30/26 = $22.82 + (($64,740 - $43,000) x 0.22) / 26 = $888.68 which is equal to $911.50 per paycheck.

4. If Valentina is paid semimonthly with annual wages of $77,880, the amount of withholding per paycheck will be $1,056 per paycheck. Since her wages are paid semimonthly, the annual salary of $77,880 is divided by 24 pay periods to get $3,245 per paycheck.

This income is taxed $467 using the wage bracket tables.

Subtracting the $3,245 semimonthly wage from the 1st semimonthly bracket ceiling of $4,166.66, gives $921.66.

Multiplying $921.66 by the marginal rate of 22% is $202.77.

Adding $467 to $202.77 gives the total tax of $669.77.

Thus, the amount of withholding per paycheck will be $669.77/24 = $27.91 + (($77,880 - $54,200) x 0.22) / 24 = $1,028.09 which is equal to $1,056 per paycheck.

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please assist urgently

3. For the simple linear regression model Y₁ =B₁ + B₂X₁ + U₁ a) Explain why the disturbance term is introduced in a regression model b) State the Ordinary Least Squares (OLS) estimation crit

The disturbance term (U₁) is introduced in a** regression model** to account for the variability or randomness in the relationship between the dependent variable (Y₁) and the independent variable (X₁) that cannot be explained by the model itself.

It represents the combined effect of all other factors that influence the dependent **variable** but are not explicitly included in the model.

In simple **linear regression**, the model assumes that the relationship between Y₁ and X₁ is linear. However, there may be other variables or factors that affect Y₁ but are not included in the model.

These factors can introduce random variations or errors in the observed values of Y₁, which cannot be explained by the linear relationship with X₁. The disturbance term captures these unobserved factors and their impact on Y₁.

b) The Ordinary Least Squares (OLS) estimation criteria is used to estimate the coefficients (B₁ and B₂) in the simple linear regression model. The **OLS method **seeks to minimize the sum of the squared differences between the observed values of the dependent variable (Y₁) and the predicted values based on the regression equation.

The OLS estimation criteria can be stated as follows:

Minimize Σ(U₁²) = Σ(Y₁ - (B₁ + B₂X₁))²

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Which of the following are reasons why a company is involved in leasing to other companies?

I. Interest revenue.

II. High residual values.

III. Tax incentives.

IV. Guaranteed bargain purchase options.

I, III, and IV.

II, III, and IV.

I, II, and III.

I, II, IV.

All of the options (I, II, III, and IV) can be reasons why a company is involved in leasing to other** companies.** Therefore, the correct answer would be option **D: I, II, IV.**

I -** Interest revenue**: Companies can earn interest revenue by leasing assets to other companies. This can be an attractive source of revenue for companies with excess capital.

I**I - High residual values: **Leasing companies can benefit from high residual values if they are able to resell the leased asset at a higher price than the residual value stated in the lease agreement.

**III - Tax incentives:** Many countries offer tax incentives to companies that lease assets. These tax incentives can include deductions for lease payments or accelerated depreciation schedules.

**IV - Guaranteed bargain purchase options:** A guaranteed bargain purchase option allows the lessee to purchase the leased asset at a predetermined price at the end of the lease term. This can be beneficial to leasing companies as it provides them with a guaranteed sale of the leased asset.

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Which of the following issues about the SDLC methodology is false?

a. Requirements analysis is critical to the success of the project.

b. System development practitioners agree that the more time invested in analyzing

the current system and understanding problems that are likely to occur during

system development, the greater the probability that the IS will be a success

c. The requirements study determines the probability of success of the proposed

project.

d. Testing verifies that apps, interfaces, data transfers, and so on, work correctly

under all possible conditions.

None of the statements about the SDLC** methodology** are false. All of them are true.

a. **Requirements analysis **is critical to the success of the project: This is true because without proper requirements analysis, the project team may not understand what the user wants and needs from the system, which would lead to an unsuccessful **outcome.**

b. System development practitioners agree that the more time invested in analyzing the **current system **and understanding problems that are likely to occur during system development, the greater the probability that the IS will be a success: This is also true as it is important to take the time to thoroughly analyze the current system to identify issues and prevent them from recurring in the** new system.**

c. The requirements study determines the probability of success of the proposed project: This is also true as the requirements study helps to determine whether the** project **is feasible and can meet the needs of the users.

d. Testing verifies that apps, interfaces, data transfers, and so on, work correctly under all possible **conditions:** This is also true as testing is a critical part of the SDLC methodology to ensure that the system works correctly and meets the needs of the users.

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I want to ask 2 questions about budgeting.

1, What are the human factors in the budgeting process?

2, How do they affect the usefulness of budgetary planning and

control?

Thank you!!

Human factors play a significant role in the budgeting process. These factors include the involvement of individuals, such as **managers**, employees, and stakeholders, who contribute to the development, implementation, and monitoring of budgets.

In the** budgeting process**, human factors encompass elements such as goal setting, communication, coordination, decision-making, and behavioral aspects. Effective **collaboration** and clear communication among individuals involved in budgeting are crucial for successful budgetary outcomes.

Human factors can greatly influence the usefulness of budgetary planning and control. When individuals actively participate in the budgeting process, it enhances the accuracy and relevance of the budget. Open communication and engagement foster a shared understanding of** financial goals**, promoting effective decision-making and coordination.

However, human factors can also present challenges. Budgetary gaming or manipulation, conflicts of interest, and biases may compromise the reliability and effectiveness of budgets. Inadequate communication and limited involvement can lead to misunderstandings, resistance to change, and poor budget execution. Therefore, recognizing and managing these human factors is vital for maximizing the usefulness of budgetary planning and control.

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Under which component of a financial plan will you determine

your net worth?

A Budgeting and tax planning

B Establishing your financial goals

C Personal investing

D Protecting your assets and income

The correct answer is D: Protecting your assets and income.

Net worth is determined under the component of a **financial plan **focused on protecting **assets **and **income**.

Determining net worth falls under the component of a financial plan that focuses on protecting assets and income. Net worth is the calculation of an individual's total assets minus their total **liabilities**. This component aims to safeguard one's financial well-being by addressing risk management and **insurance **needs. It involves evaluating various types of insurance coverage, such as life, health, disability, and property insurance, to protect against potential financial losses. By accurately assessing net worth, individuals can better understand their financial standing and make informed decisions regarding their overall financial strategy, including investment choices and estate planning.

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Quantity demanded is the O A. total amount of a good that purchasers wish to purchase at a given price during a given period of time. B. graphical representation of the relationship between demand and the price of a commodity. C. total amount of a good that people wish to sell, regardless of price. O D. actually consumed quantity that is expressed as so much per period of time. E. product of advertising, and is unrelated to price.

A. **Quantity** demanded is the total amount of a good that **purchasers** wish to purchase at a given price during a given period of time.**Quantity demanded** refers to the specific quantity of a good or service that **consumers** are willing and able to purchase at a particular price within a specified time frame. It represents the quantity that consumers desire to buy at different price levels. The relationship between price and quantity demanded is typically **negative**, meaning that as the price increases, the quantity demanded tends to decrease, and vice versa. This inverse relationship is captured by the demand curve, where higher prices **correspond** to lower quantities demanded and vice versa.

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Problem 2 (25

points)

The cash transactions and cash

balances of Kitchen Delight, Inc., a manufacturer of kitchen

cabinets, for the month of October were as follows:

Based on the information provided, here is the **breakdown **of the bank **reconciliation **for Kitchen Delight, Inc. for the month of October:

Balance per bank statement: $66,350

Add:

No additional information is provided for additions.

Deduct:

No **information **is provided for deductions.

Adjusted cash balance (per bank statement): $66,350

Balance per depositor's records: $77,073

Add:

No additional information is provided for **additions**.

Deduct:

No information is provided for deductions.

Adjusted **cash balance **(per depositor's records): $77,073

**Reconciliation **refers to the process of resolving conflicts, differences, or disputes between individuals, groups, or nations. It involves bringing together opposing parties to address the **underlying **issues, repair relationships, and foster understanding, forgiveness, and healing.

Reconciliation can occur on various levels, from interpersonal to societal. At the **interpersonal **level, it may involve open and honest communication, active listening, empathy, and the willingness to find common ground. It requires **acknowledging **and taking responsibility for past actions, offering apologies, and seeking forgiveness.

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Complete Question:

The cash transactions and cash balances of Kitchen Delight, Inc., a manufacturer of kitchen cabinets, for the month of October were as follows:

KITCHEN DELIGHT, INC.

Bank Reconciliation

October 31, 2021

Balance per bank statement ..................................................... $ 66.350

Add:

Deduct:

Adjusted cash balance.............................................................. $____

Balance per depositor’s records ................................................. $77,073

Add:

Deduct:

Adjusted cash balance $________

As a banker at an Oisee Bank, you are given the following quotations:

Exchange Rate Spot Rate 1-month forward 2-month forward

Indian Rupee (INR) RM5.5000/10 20/40 60/50

Japanese Yen (¥) RM3.6000/10 20/60 30/40

Thai Bath (THB) RM8.9000/10 40/30 60/50

Country Rate (Percent)

India 8

Japan 4

Malaysia 5

Thailand 6

If the bank’s customer need THB10,000, how many RM would he exchange today?

If you are expected to receive INR50,000 in 1 months’ time, how much is it pay in RM?

To** calculate** the amount of RM the customer would exchange for THB10,000 today, we need to use the** spot exchange** rate for Thai Baht (THB).

The** spot exchange** rate for THB is RM8.9000/10. This means that 10 Thai Baht is equivalent to RM8.9000.

So, for THB10,000, the calculation would be:

RM = (THB amount) / (THB rate)

RM = 10,000 / 10 * 8.9000

RM = 89,000

Therefore, the **customer would exchange **RM89,000 for THB10,000 today.

For the second question, if you are expected to receive INR50,000 in 1 month's time, we need to use the 1-month forward exchange rate for Indian Rupee (INR).

The 1-month** forward exchange** rate for INR is 20/40. This means that 1 Indian Rupee is equivalent to RM0.50.

So, to calculate the payment in RM, we** multiply the INR amount **by the INR rate:

RM = (INR amount) * (INR rate)

RM = 50,000 * 0.50

RM = 25,000

Therefore, the payment in RM for receiving INR50,000 in 1 month's time would be RM25,000.

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1. Discuss any three (3) modern trends in information systems and explain how your organization can benefit from using each of them.

2. Following the Covid-19 experience, explain any three (3) innovative ways that your organization can use information systems to create value for its customers. For each innovative way, what key challenge can emerge and how can it be resolved.

3. With the aid of examples, discuss three (3) major constraints for online businesses in Ghana and how each constraint can be addressed.

4. (a). Discuss any three (3) possible external IT security threats to your organization. (b). For each threat, discuss the possible measures for prevention.

Modern trends in information systems and their benefits to organizations are as follows:Cloud Computing: This trend allows **businesses **to store data on a remote server that can be accessed anytime, anywhere.

Cloud computing eliminates the need for expensive **infrastructure**, storage devices, and software, allowing businesses to reduce costs. This trend is beneficial to organizations because they can use software and hardware to meet their needs without buying or owning it. Cloud computing offers scalable solutions that can be customized to the company's requirements.Business Analytics: Business analytics uses statistical analysis to predict and analyze trends, providing insights into customer behavior, sales patterns, and other areas of interest. It enables organizations to make data-driven decisions, which can improve performance and increase revenue. Business analytics provides valuable insights that can help organizations save time and make better **decisions**.

**Mobile Computing**: Organizations can benefit from mobile computing by enabling remote work. Employees can use their mobile devices to access company data, communicate with colleagues and clients, and complete tasks while on the go. This trend is beneficial to organizations because it increases productivity and flexibility, which can lead to increased revenue.2. Innovative ways that organizations can use information systems to create value for their customers are as follows:Virtual Customer Support: Organizations can provide virtual customer support services to customers through chatbots, virtual assistants, and other online tools. This trend is beneficial because it increases customer satisfaction and reduces wait times. The key challenge that can emerge is a lack of personal touch. Organizations can resolve this issue by offering personalized customer support services and training employees to handle complex issues.Social Media Marketing: **Social media **marketing can help organizations connect with their customers on a personal level. This trend is beneficial because it can improve brand awareness and customer engagement. The key challenge that can emerge is negative feedback from customers. Organizations can resolve this issue by monitoring feedback, responding to concerns, and addressing issues promptly.

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Which of the following are fairly easy to trace to individual jobs? Direct materials and maintenance Direct materials and direct labor O Direct labor and overhead Overhead and indirect labor Depreciation on machinery and overhead

**Direct labour **and direct materials are linked to specific jobs. These costs can be precisely tracked and related to particular works or projects within a company's manufacturing process, enabling accurate** job costing**.

**Direct labour** and material expenses are thought to be extremely simple to link to specific jobs.

Direct materials are substances or elements that are employed directly in the creation of a certain good or** service**. These resources are simple to identify and can be given to a specific task or project. For instance, the price of the raw materials required to make a certain product can be directly linked to that product in a **manufacturing context**.

On the other hand, direct labour costs refer to the wages or salaries paid to workers who are directly associated with the** production process**. These workers' time and effort can be precisely tracked and devoted to particular tasks or projects.

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The manager of company A is thinking about adding an air conditioner to the office. The AC will cost $1450 to buy and install. The manager plans to use the AC for 5 years and each year's depreciation rate is 16% of the purchase price. The manager expects to sell the AC in 5 years for $840.The tax rate is 35% and the company's WACC is 5%. If the manager considers this purchase of AC as an investment, what is the NPV (keep two decimal places and assume that the AC will not affect the operations of the company)?

The NPV of the air conditioner **investment **for Company A is $270.46.

To calculate the NPV (**Net Present Value**) of the investment, we need to determine the cash flows associated with the air conditioner over its useful life and discount them to their present value.

The initial cash outflow is the cost of buying and installing the AC, which is $1450. The annual depreciation expense is 16% of the purchase price, which is $232 ($1450 * 16%). However, since **depreciation **is a non-cash expense, it does not affect the cash flow. In the fifth year, when the AC is sold for $840, there is a cash inflow of $840.

To calculate the present value of the cash flows, we need to discount them using the company's **Weighted Average Cost of Capital** (WACC), which is 5%. The formula to calculate the present value of cash flows is:

[tex]PV = CF / (1 + r)^n[/tex]

where PV is the present value, CF is the cash flow, r is the **discount **rate, and n is the time period.

Using this formula, we can calculate the present value of the cash flows for each year and sum them up to calculate the NPV. In this case, the NPV is $270.46, indicating a positive net present value, which suggests that the investment in the air conditioner is financially favorable for Company A.

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In this exercise, you will conduct regression analysis with binary and categorical variables. (a) Use the command tabulate to show the categories of the variable occupation and their frequencies. What is the relative frequency of the category Sales? Please report a number between 0 and 1. (b) Use the same command, this time specifying the option nolabel, to visualize the numeric values corresponding to the different categories of occupation. Which numeric value corresponds to the label Sales? (c) Use the command summarize with the option if to compute the sample mean of wage for workers with Sales occupation. What is the average wage for workers with Sales occupation? (d) Use the command regress wage i.occupation to run a regression with binary variables for every occupation category. (Adding i. to a categorical variable will automatically generate a binary variable for each category.) The occupation with numeric value 1 is used as the base group. Given the regression results, what is the average wage for workers with Sales occupation? How does your answer compare to part 2(c)? (e) Which occupation has the highest average wage? How much is it? (f) Use a similar command as in step (d), this time to study the average hours for each occupation. Which occupation. works the longest hours per week? How many hours on average for this occupation? Next, we follow a similar procedure as in steps (a)-(d) to study the wage gap among different races. (g) Use the command regress wage i.race to run a regression with binary variables for every race category. What is the average wage for white? (h) What is the wage gap between white and black (report a positive number)? What is the 95% confidence interval for this wage gap? 2 (i) Generate three binary variables for categories in race to run a saturated regression instead of (g). What is the average wage for white? How does your result compare to (g)?

The relative **frequency** of the category** "Sales"** in the variable "occupation" cannot be determined without the actual data or output from the "**tabulate" command.**

Without the **data or output**, it is not possible to determine the numeric value corresponding to the label "Sales" in the **variable "occupation".**

The average wage for workers with the **"Sales" occupation **cannot be determined without the actual data or output from the "**summarize" **command with the** specified condition**.

Without the regression results or data, it is not possible to determine the average wage for workers with the **"Sales" **occupation.

Without the data or output, it is not possible to determine which occupation has the highest **average wage** or the specific wage amount.

Without the data or output, it is not possible to determine which occupation works the **longest hours **per week or the specific average hours for that occupation.

(g) Without the** regression results **or data, it is not possible to determine the average wage for workers who are categorized as "white."

(h) Without the regression results or data, it is not possible to determine the wage gap between** "white" and "black" **or the 95% confidence interval for the wage gap.

(i) Without the regression results or data, it is not possible to determine the** average wage** for workers categorized as "white" using the saturated regression or how it compares to the results from the previous regression.

The questions require access to the data, command outputs, or **regression** results to provide specific answers. Without the actual information, it is not possible to calculate the relative frequency of the "Sales" category, determine the numeric value corresponding to "Sales," compute the average wage for workers in the "Sales" **occupation, **identify the occupation with the** highest average wage** or its specific wage amount, determine which occupation works the longest hours, calculate the average wage for workers categorized as "white," or analyze the wage gap between "white" and "black" with its confidence interval.

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35) Fill in Correct answer: Elephant, Inc.'s cost of goods sold for the year is $1,900,000, and the average merchandise inventory for the year is $132,000. Calculate the inventory turnover ratio of th

To calculate the** inventory turnover ratio**, you need to divide the **cost of goods sold** (COGS) by the average merchandise inventory.

Inventory turnover ratio = COGS / Average merchandise inventory Given: COGS = **$1,900,000 **Average merchandise inventory =** $132,000 **Inventory turnover ratio = $1,900,000 / $132,000 = 14.39 (rounded to two decimal places) Given that Elephant, Inc.'s cost of goods sold for the year is $1,900,000 and the average merchandise inventory for the year is $132,000, we can plug in these values :Therefore, the inventory turnover ratio of **Elephant, Inc**. for the year is approximately **14.39.**

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answer 18. Assume that the efficient market hypothesis holds. Marcos has been recently hired by a brokerage firm and claims that he now has access to the best market infor- mation. However, he is the

The efficient** market hypothesis** states that financial markets reflect all available information, and that asset prices **accurately r**epresent their underlying fundamental values. In an efficient market, it is assumed that all market participants have access to the same information, and prices adjust quickly to new information.

If Marcos is the sole **individual** with access to superior market information, it suggests a violation of the efficient market hypothesis. In an efficient market, information is quickly and widely **disseminated**, and any private or exclusive information would be incorporated into asset prices almost instantaneously.

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answer 18. Assume that the efficient market hypothesis holds. Marcos has been recently hired by a brokerage firm and claims that he now has access to the best market infor- mation. However, he is the only individual in the market who possesses this information. Based on the efficient market hypothesis, Marcos' claim is questionable.

In North Carolina, may a broker who is working with a buyer's agent lawfully share with the unlicensed buyer part of the commission the broker earns on the buyer's transaction? a. No, because an unlicensed person may not lawfully receive any compensation derived from a real estate brokerage transaction b. No, because the payment to the unlicensed buyer would violate the Real Estate Settlement Procedures Act(RESPA) c. Yes, subject to lender approval and disclosure on the settlement statement because the buyer is a party to the transaction d. Yes, because commissions earned by a licensed broker working as a buyer's agent may be split with unlicensed person
Nevaeh spins the spinner once and picks a number from the table. What is the probability of her landing on blue and and a multiple of 4.
Which of the following is acceptable as a constraint in a linear programming problem (maximization)? (Note: X Y and Zare decision variables) Constraint 1 X+Y+2 s 50 Constraint 2 4x + y = 20 Constraint 3 6x + 3Y S60 Constraint 4 6X - 3Y 360 Constraint 1 only All four constraints Constraints 2 and 4 only Constraints 2, 3 and 4 only None of the above
On December 31, 2020, Marigold Co. estimated that 2% of its net accounts receivable of $443,800 will become uncollectible. The company recorded this amount as an addition to Allowance for Doubtful Accounts. The allowance account had a zero balance before adjustment at December 31, 2020. On May 11, 2021, Marigold Co. determined that the Jeff Shoemaker account was uncollectible and wrote off $2,219. On June 12, 2021, Shoemaker paid the amount previously written off. Prepare the journal entries on December 31, 2020, May 11, 2021, and June 12, 2021. (Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) (To reverse write-off) (To record collection of write-off)
Determining a procedure to produce bromine water. You will want to copy this information into your procedure for use in class. a. Balance the redox equation for the formation of Br, from the reaction of Bro, and Br in an acidic solution. Br, is the only halogen containing product. b. What is the reducing agent in the above reaction? c. How many mL of 0.2M NaBro, mL of 0.2M NaBr, mL of 0.5M H.SO, and mL of water are needed to prepare 12 mL of a 0.050M Br solution? Record these quantities in the procedure.
A one-wheeled cart is used to carry 400N load. If the load is at a distance of 30cm from the wheel and the cart is 1.2 m long, what effort should be applied at the handles to lift the load? What are mechanical advantages, velocity ratio and efficiency? Is the efficiency in practice same as calculated one?
Find the coordinates of the point on the 2-dimensional plane H given by equation X - x2 + 2x3 = 0, which isclosest to p = (2, 0, -2) . Solution: (____, _____, _____) Your answer is interpreted as: ()
let u= 6 3 6 and v= 4 2 3 . compute and compare uv, u2, v2, and u v2. do not use the pythagorean theorem.
Firm Tezla produces the product QuickCar. Annual demand for QuickCar is 600 units per year on a continuous basis. The product has inventory holding costs of $30 per unit per year and order costs of $300 per order. It takes 30 days to receive a shipment after an order is placed. Calculate the economic order quantity (EOQ). O a. 44 units O b. 77 units O c. 60 units O d. 110 units
what do geneticists call stable, heritable changes in genetic material?
the form of the continuous uniform probability distribution is
where do our cells get the molecules they need to function properly
You're making dessert, but your recipe needs adjustment. Your snickerdoodle cookie recipe makes 2 dozen cookies, but you need 3 dozen cookies. If the recipe requires 13 I cups of sugar, 1 teaspoons of
The curve y = 6x(x 2)2 starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (0.67, 7.11), goes down and right becoming more steep, passes through the approximate point (1.33, 3.56), goes down and right becoming less steep, and ends at x = 2 on the positive x-axis.The shaded region is above the x-axis and below the curve from x = 0 to x = 2.a) Explain why it is difficult to use the washer method to find the volume V of S.b) What are the circumference c and height h of a typical cylindrical shell?c(x)=h(x)=c) Use the method of cylindrical shells to find the volume V of S. Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y = 6x(x - 2) The xy-coordinate plane is given. There is a curve and a shaded region on the graph. The curve y = 6x(x - 2) starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (0.67, 7.11), goes down and right becoming more steep, passes through the approximate point (1.33, 3.56), goes down and right becoming less steep, and ends at x = 2 on the positive x-axis. The shaded region is above the x-axis and below the curve from x = 0 to x = 2. Explain why it is difficult to use the washer method to find the volume V of S.
One of the basic equation in electric circuits is dl L+RI = E(t), dt Where L is called the inductance, R the resistance, I the current and Ethe electromotive force of emf. If, a generator having emf 110sin t Volts is connected in series with 15 Ohm resistor and an inductor of 3 Henrys. Find (a) the particular solution where the initial condition at t = 0 is I = 0 (b) the current, I after 15 minutes.
Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
A chartered bank - Bank of Springfield has the following items in its balance sheet: cash reserves - $60,000, loans - $140,000, securities- $100,000, demand deposits - $300,000 r = 20% 1. Does the Bank of Springfield currently have any excess reserves? If so, how much does it have? (2) 2. Now assume that Homer Simpson deposits $10,000 into the bank. Show on the balance sheet how this deposit changes things. (2) 3. Does the Bank of Springfield have any excess reserves after this deposit by Homer? If so, how much? (2) 4. If Marge is granted a loan by the exact amount of current excess reserves, how does the balance sheet change if the money is deposited into her account? (2) 5. If she then buys an Icelandic pony with the loan money, how does the balance sheet change after the cheque has cleared? (2) 6. Using the money multiplier, what is the total increase in the money supply created from this loan? (2) 7. What if instead, the Bank of Canada bought $10,000 of securities from the Bank of Springfield? How does this change the balance sheet? How much will the money supply increase by once a loan is made in this case?
a) Set up each firms profit maximizing problem and their best response functionb) For any one of the firms show how the best response function in (a) is affected by i) a marginal increase in b? Interpret ii) a marginal increase in c. Interpretc) Determine the Cournot Nash equilibrium of the gamed) Determine the Stackelberg equilibrium output for firm A and B assuming firm A is the Leader and firm B is the followere) Show how equilibrium output of each firm in the Stackleberg model in (d) is affected by i) a marginal increase in b? Interpret (2 marks) ii) a marginal increase in c. Interpret
Determine all solutions of the equation in radians.5) Find sin given that cos e14and terminates in 0 e 90.
Thank youEliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t) = 5t ly(t) = -2 + 5t The resulting equation can be written as x =