1.With the aid of practical examples, identify five problems one might encounter with the usage of project management tools and techniques. List the possible solutions for the stated problems.
2.Who gives authorisation in relation to changes in scope or implementation of systems and procedures in a project set-up?

Answers

Answer 1

1. Problems that can be encountered with project management tools and techniques:It is important to understand that project management tools and techniques are not perfect.

They are simply a means to an end. Here are some of the common problems that are encountered with project management tools and techniques:Communication: Poor communication between team members, project managers, stakeholders, and other involved parties can lead to a host of problems, such as missed deadlines, confusion, and frustration.Time Management: Time management is a critical component of any project. If team members are not able to effectively manage their time, the project may fall behind schedule, leading to missed deadlines and other problems.Resource Allocation: Resource allocation is another important aspect of project management. Without adequate resources, team members may struggle to complete tasks on time, which can lead to delays and other problems.Misunderstanding of Project Requirements: One of the biggest challenges in project management is ensuring that all team members are on the same page with regard to project requirements. This can be a particular problem when requirements are complex or difficult to understand.Technical Difficulties: Technical difficulties, such as software crashes, can derail a project if not addressed properly.Possible solutions for the stated problems:Communication: Use effective communication channels, such as meetings, emails, and phone calls, to keep everyone informed about project progress.Time Management: Develop a detailed schedule that outlines key tasks and deadlines.Resource Allocation: Use project management software to allocate resources more effectively.Misunderstanding of Project Requirements: Provide detailed documentation outlining project requirements and work with team members to ensure that everyone has a clear understanding of what is expected.Technical Difficulties: Have a backup plan in place to ensure that technical difficulties do not disrupt the project.2. Authorization in relation to changes in scope or implementation of systems and procedures in a project set-up can be given by the project sponsor. The project sponsor is the person who is ultimately responsible for the success or failure of the project. They are typically the highest-ranking executive involved in the project and are responsible for providing the necessary resources and support to ensure that the project is successful.

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Related Questions

Given the following data, what is this person's net worth? GIVEN DATA Balance on car loan $3,250 Balance on student loans $9,850 Cash in checking account $1,100 Clothing purchases $350 Current value of automobile $10,500 Donations $100 Entertainment $250 Food expenses - monthly $425 Home computer $2,200 $5,500 Household possessions Light, gas water bill $110 O $10,205 O $9,805 O $10,705 $9,505 Loan payment Lunches/parking at work Monthly auto insurance Monthly car note Monthly gross income Monthly rent expense Monthly take-home pay Savings account balance Stereo & video equipment Telephone bill-home & cell VISA balance $230 $115 $120 $320 $4,500 $900 $3,650 $2,100 $3,550 $155 $1,145

Answers

To calculate the net worth, we need to sum up all the assets and subtract all the liabilities.

Assets:

Current value of automobile: $10,500

Cash in checking account: $1,100

Savings account balance: $3,650

Home computer: $2,200

Stereo & video equipment: $155

Total Assets = $10,500 + $1,100 + $3,650 + $2,200 + $155 = $17,605

Liabilities:

Balance on car loan: $3,250

Balance on student loans: $9,850

VISA balance: $1,145

Total Liabilities = $3,250 + $9,850 + $1,145 = $14,245

Net Worth = Total Assets - Total Liabilities = $17,605 - $14,245 = $3,360

Therefore, the person's net worth is $3,360.

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QUESTION 74 Given The Following Data, What Is This Person's Net Worth? GIVEN DATA Balance On Car Loan Balance On Student Loans Cash In Checking Account Clothing Purchases Current Value Of Automobile Donations Entertainment Food Expenses - Monthly Home Computer Household Possessions Light, Gas & Water Bill O $9,505 O $10,705 O $10,205 0 $9,805 $3,250 $9,850

Explain the transmission mechanism from a price change to an
output change with an aggregate demand curve under fixed exchange
rates

Answers

The transmission mechanism from a price change to an output change with an aggregate demand curve under fixed exchange rates operates through changes in real interest rates and the exchange rate.

In an economy with fixed exchange rates, a price change can affect output through several channels. When prices rise, it leads to an increase in nominal interest rates, which, under fixed exchange rates, translates to a higher real interest rate. The higher real interest rate reduces investment and consumption, dampening aggregate demand and leading to a decrease in output.

Additionally, a price change can affect the exchange rate. An increase in domestic prices relative to foreign prices reduces the competitiveness of domestic goods, leading to a decrease in net exports. This decrease in net exports further reduces aggregate demand and output.

Therefore, a price change in an economy with fixed exchange rates can impact output through the transmission mechanism of higher real interest rates and a decline in net exports. These effects work together to influence aggregate demand and ultimately lead to changes in output levels.

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This is for my business communication class (BA 205)
Question 6 (2 points)
One of the most overlooked, tools in any job search is the
informational interview?
Question 6 options:
A
True
B
False

Answers

False. One of the most overlooked, tools in any job search is the

informational interview.

An informational interview is not an overlooked tool in any job search. In fact, it is recognized as a valuable strategy for gathering insights and building professional networks. An informational interview involves meeting with professionals in a desired field or industry to gather information, learn about career paths, and gain advice. It helps individuals gain a better understanding of a particular job or industry and can potentially lead to future job opportunities or connections. Therefore, informational interviews are actively utilized and recommended by career experts as an effective tool in job searching and career exploration.

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The maximum daily exposure time for a noise level of 95 dBA using using OSHA standards and NIOSH recommendations.
The work scheme for a job with moderate workload and a heat stress value (WBGT) of 29.4oC.
The risk assessment category for a hazard with marginal severity and occasional occurrence.

Answers

The maximum daily exposure time for a noise level of 95 dBA using OSHA standards and NIOSH recommendations is different. OSHA recommends a maximum daily noise exposure of 90 dBA for eight hours a day.

Exposure to sound levels above 90 dBA should be limited to a lesser time period or require hearing protection devices. OSHA has established that when the noise exposure exceeds 85 dBA for an eight-hour shift, hearing protection must be used. On the other hand, NIOSH suggests a lower exposure limit than OSHA for noise that is 85 decibels for an eight-hour day. NIOSH suggests that noise levels be reduced below 85 dBA to eliminate the risk of hearing loss. If noise is at 100 dBA, the maximum daily exposure time allowed by OSHA is only 15 minutes. Therefore, the maximum daily exposure time for a noise level of 95 dBA varies depending on the standards used by OSHA or NIOSH. A job with moderate workload and a heat stress value (WBGT) of 29.4oC is classified as a category 2, which is considered to be a high risk of heat stress. Employees who work in this category must be careful and take appropriate measures to prevent heat stress, including acclimatizing, drinking fluids, and wearing lightweight clothing. A hazard with marginal severity and occasional occurrence is classified as a risk assessment category 1. A risk assessment category 1 hazard has a low risk of causing significant harm and can usually be controlled using standard safety procedures. The control measures should be implemented to minimize the risk of injury or damage to property.

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In Myanmar, five laborers, each making the equivalent of $3.00 per day, can produce 38 units per day. In China, nine laborers, each making the equivalent of $2.00 per day, can produce 45 units. In Billings, Montana, two laborers, each making $57.00 per day, can make 100 units. Shipping cost from Myanmar to Denver, Colorado, the final destination, is $1.50 per unit. Shipping cost from China to Denver is $1.00 per unit, while the shipping cost from Billings, Montana to Denver is $0.30 per unit. Based on total costs (labor and transportation) per unit, the most economical location to produce the item is .......... with a total cost (labor and transportation) per unit of $ ...... (Enter your response rounded to two decimal places.)

Answers

The required answer is China with a total cost labor and transportation per unit of $1.40.

In China, nine laborers, each making the equivalent of $2.00 per day, can produce 45 units.In Billings, Montana, two laborers, each making $57.00 per day, can make 100 units.Shipping cost from Myanmar to Denver, Colorado, the final destination, is $1.50 per unit.Shipping cost from China to Denver is $1.00 per unit, while the shipping cost from Billings, Montana to Denver is $0.30 per unit.To find the most economical location to produce the item, we need to find the total cost (labor and transportation) per unit of the item.

Total cost per unit in Myanmar labor cost per unit = (5 × 3)/38 = $0.39Shipping cost per unit = $1.50Total cost per unit = 0.39 + 1.5 = $1.89Total cost per unit in Chinalabor cost per unit = (9 × 2)/45 = $0.40Shipping cost per unit = $1.00Total cost per unit = 0.4 + 1 = $1.40Total cost per unit in Billings, Montanalabor cost per unit = (2 × 57)/100 = $1.14Shipping cost per unit = $0.30Total cost per unit = 1.14 + 0.3 = $1.44Thus, the most economical location to produce the item is China with a total cost (labor and transportation) per unit of $1.40 (rounded to two decimal places).

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Current Attempt in Progress
Cost of goods sold $435400
Income tax expense $67600
Operating expenses 352800
Sales 1040000

Gross profit would be:
a. $537000
b. $604600
c. $184200
d. $687200

Answers

The gross profit can be calculated by subtracting the cost of goods sold from the sales revenue. Based on the given figures, the gross profit would be $604,600.

Gross profit is a measure of profitability that represents the amount remaining from sales revenue after deducting the cost of goods sold. To calculate the gross profit, we subtract the cost of goods sold from the sales revenue.

Given:

Cost of goods sold = $435,400

Sales = $1,040,000

Gross Profit = Sales - Cost of Goods Sold

Gross Profit = $1,040,000 - $435,400

Gross Profit = $604,600

Therefore, the correct answer is option b. The gross profit would be $604,600.

It's important to note that gross profit does not take into account operating expenses or income tax expenses. It solely focuses on the direct cost of producing or acquiring the goods sold. Gross profit is a key indicator of a company's profitability and helps assess its ability to generate revenue from its core operations.

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Group that has been given power by Congress to enforce the proper application of financial reporting rules for companies whose securities are publicly traded.

Answers

The group that has been given power by Congress to enforce the proper application of financial reporting rules for companies whose securities are publicly traded is the Securities and Exchange Commission .

The Securities and Exchange Commission (SEC) is a regulatory agency established by the U.S. federal government to protect investors, maintain fair and efficient markets, and facilitate capital formation. One of its primary responsibilities is to enforce the proper application of financial reporting rules for companies whose securities are publicly traded.

The SEC has been granted this power by Congress through legislation such as the Securities Exchange Act of 1934 and the Sarbanes-Oxley Act of 2002. These laws require publicly traded companies to adhere to certain financial reporting standards and disclose accurate and timely information to investors.

To enforce these rules, the SEC has the authority to conduct investigations, impose sanctions, and bring legal actions against companies or individuals that violate securities laws. It has the power to review financial statements, audit reports, and other relevant documents to ensure compliance with accounting principles and disclosure requirements.

By overseeing and regulating financial reporting practices, the SEC aims to promote transparency, integrity, and confidence in the financial markets. Its enforcement efforts help protect investors from fraudulent or misleading financial information and contribute to the overall stability and fairness of the securities industry.

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What are specific price differentiation tactics you could
implement in regard to this specific discount program? Explain why
each tactic you selected was chosen.

Answers

Price differentiation The price difference equation is a term that means when A shopkeeper or seller charges different prices from many customers for the same product.  

Price differentiation, also known as price discrimination, refers to a strategy employed by businesses to set different prices for their products or services based on various factors. It involves charging different customers or market segments different prices for essentially the same product or service. The goal of price differentiation is to maximize profits by tailoring prices to capture the maximum value from each customer group.

There are several types of price differentiation strategies. First-degree price differentiation, also known as personalized pricing, involves setting a unique price for each individual customer based on their willingness to pay. Second-degree price differentiation involves offering different pricing tiers or quantity discounts to incentivize customers to purchase more.

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Explain
the interactions of various chemical and biological groups
pertaining to Health
and Safety.

Answers

Chemical and biological interactions involve the impact of substances on human health. Understanding these interactions is crucial for risk assessment and promoting safety in various settings.

Chemical and biological interactions in the context of health and safety refer to the ways in which different chemical substances and biological agents can interact with the human body and potentially impact health. These interactions can occur through exposure routes such as inhalation, ingestion, or skin contact. Chemicals can have various effects on the body, including toxicity, irritation, or sensitization. Biological agents, such as bacteria, viruses, or allergens, can cause infections, diseases, or allergic reactions. Understanding these interactions is crucial for assessing risks, implementing control measures, and promoting safe practices in occupational and environmental settings to protect the health and safety of individuals.

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11. Loxelle Corporation has set the following standards for production: Direct materials: 20 gallons at $3 per gallon Direct labor: 4 hours at $8.50 per hour Loxelle: . Budgeted fixed costs at $200,00

Answers

So, the total cost of each unit is $94 + $20 = $114.

Loxelle Corporation Standards for Production

Direct materials: 20 gallons at $3 per gallon.

Direct labor: 4 hours at $8.50 per hour.

Loxelle: Budgeted fixed costs at $200,000.

Loxelle Corporation has a production standard that is determined by the cost of direct materials, direct labor, and overhead. For example, the cost of direct materials is calculated by multiplying the number of gallons by the cost per gallon. In this case, the cost of direct materials is 20 x $3 = $60.

Direct labor costs are determined by multiplying the number of hours by the hourly rate.

So the direct labor cost for each unit is 4 x $8.50 = $34.

Therefore, the total cost for each unit of production is $60 + $34 = $94.Overhead costs, such as rent and utilities, are budgeted as fixed costs.

Therefore, the budgeted fixed costs for Loxelle are $200,000. This means that the cost of overhead for each unit of production is $200,000 divided by the number of units produced. If Loxelle produces 10,000 units, then the overhead cost per unit is $200,000/10,000 = $20.

So, the total cost of each unit is $94 + $20 = $114.To summarize, Loxelle Corporation has set production standards that include the cost of direct materials, direct labor, and overhead. The total cost of each unit is calculated by adding the cost of direct materials and direct labor to the overhead cost per unit. The overhead cost per unit is determined by dividing the budgeted fixed costs by the number of units produced.

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Which theory states that people make decisions based on information they've gathered? A. Life-cycle theory O B. Theory of rational expectations C. Keynesian theory D. Theory of adaptive expectations

Answers

The theory that states that people make decisions based on information they have collected is the Theory of Rational Expectations. Rational expectations are significant in economic modeling because they provide an explanation for why markets are efficient and how prices reflect available information. The correct option is B)

What is the theory of rational expectations?

The theory of rational expectations assumes that people are rational and capable of processing information to make decisions. They rely on past experiences, economic indicators, and information from other sources to forecast future events. The theory is built on two key premises. The first is that individuals are rational, meaning they use all available information to make the best decisions for themselves.

They process information in a systematic way and use it to form expectations about the future. The second premise is that markets are efficient. This means that prices reflect all available information about the market and its future prospects. Rational expectations are significant in economic modeling because they provide an explanation for why markets are efficient and how prices reflect available information.

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In 2019, Alberta-based Corporation Growth has $95,000 in taxable income, and Alberta-based Corporation Income has $10,400,000 in taxable income. Use the tax rates from Table 2.7. a. What is the tax bill for each? (Omit $ sign in your response.)
Firms Tax Bill Alberta-based Corporation Growth $
Alberta-based Corporation Income $
b. Suppose both firms have identified a new project that will increase taxable income by $26,000. How much additional taxes will each firm pay? (Omit $ sign in your response.)
Firms Additional Taxes Alberta-based Corporation Growth $ Alberta-based Corporation Income $
c. Is this amount the same? multiple choice
Yes No

Answers

In 2019, Alberta-based Corporation Growth had a taxable income of $95,000, and Alberta-based Corporation Income had a taxable income of $10,400,000.

a. To calculate the tax bill for each firm, we need to apply the relevant tax rates to their taxable income. The tax rates from Table 2.7 are not provided, so without them, we cannot calculate the tax bill for each firm accurately.

b. To determine the additional taxes each firm will pay if their taxable income increases by $26,000, we need to apply the relevant tax rates to the additional taxable income. Without the tax rates, we cannot calculate the additional taxes accurately.

c. Without the tax rates, we cannot compare the amounts of additional taxes paid by each firm. To determine if the amounts are the same, we would need to calculate the additional taxes for both firms and compare the results. However, since the tax rates are not provided, we cannot determine if the amounts are the same.

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A class-action suit against a utility company resulted in a
settlement of $1.9 million for 69,000 customers. If the legal fees,
which must be paid from the settlement, are $400,000, what amount
will each plaintiff receive?

Answers

In a class-action suit against a utility company that resulted in a $10 million settlement, $400,000 was set aside to pay the plaintiffs.

The problem is asking for the amount that each plaintiff will receive. We can solve this problem by dividing the amount set aside for the plaintiffs ($400,000) by the number of plaintiffs. However, the number of plaintiffs is not given in the problem. Thus, we need to use another piece of information to solve for the number of plaintiffs.
If we let x be the number of plaintiffs, then we can write an equation using the information provided in the problem:
$10 million settlement - $400,000 = $9.6 million for the utility company
Amount received by each plaintiff = ($400,000/x)
We can now solve for x:
$9.6 million = ($400,000/x) * x
$9.6 million = $400,000
x = 24
Therefore, there are 24 plaintiffs and each plaintiff will receive $16,666.67 ($400,000/24) from the settlement.

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Mr. Mufasa has invested in a science and technology mutual fund. Now he is considering liquidating and investing in another fund. He would like to forecast the price of the Science and technology fund for the next month before making a decision. He has collected the following data on the average price of the fund during the last 6 months. Month Fund Price 150 130 160 120 140 170 a) Using a 3-month weighted moving average with the most recent month weighted 0.50, the next most recent month weighted 0.30, and the third month weighted 0.20, forecast the fund price through month 7. b) Compute an exponentially smoothed forecast using an a = .40 for these data. c) Compute an adjusted exponentially smoothed forecast (a = 0.40 and ß= 0.30) for these data. d) Using MAD, determine which one of these three forecasts is more accurate. Please put your answers in the table below. Month Fund WMA3 Ft+1 Tt+1 AFt+1/Dt-FV /DL-FU/Dt-FU Price WMA3Ft+1 Aft+1 1 150 2 130 3 160 120 140 170 123456 456

Answers

A statistical computation known as a weighted moving average (WMA) is used to assess data points over a given period of time, emphasizing more recent data points while minimizing oscillations.

a) Using a 3-month weighted moving average with the most recent month weighted 0.50, the next most recent month weighted 0.30, and the third month weighted 0.20, the forecast for the fund price through month 7 is given below: Month Fund Price Weighted Average (WMA3)June (month 7) - Ft+1 = 0.50(170) + 0.30(140) + 0.20(120) = 152

b) Exponential Smoothing with α = .40:Where F1 is the forecast for the first period, and α is the smoothing constant, which is the same for all periods. Hence, the exponentially smoothed forecast for the fund price through month 7 is given below: Month Fund Price Exponential Smoothing (α = .40)June (month 7) - AFt+1 = αFt + (1 - α)AtJune (month 7) - AFt+1 = .40(140) + .60(128.6) = 133.16

c) Adjusted Exponential Smoothing with α = .40 and β= .30:Where Ft is the forecast for the current period, α is the smoothing constant for the level, and β is the smoothing constant for the trend. Here, the base year is taken as 2000. Therefore, the adjusted exponentially smoothed forecast for the fund price through month 7 is given below: Month Fund Price Adjusted Exponential Smoothing (α = .40, β= .30)June (month 7) - AFt+1 = L0 + T0June (month 7) - AFt+1 = 129.25 + 15.24 = 144.49

d) Using the Mean Absolute Deviation (MAD) method, the accuracy of the three forecasts can be compared. The table below shows the MAD for each of the three methods. Method MAD3-month weighted moving average 15.80

Exponential smoothing with α = .40 12.45Adjusted exponential smoothing with α = .40 and β= .30 8.79

The adjusted exponential smoothing method with α = .40 and β= .30 has the lowest MAD value and hence is the most accurate.

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A homeowner's tax statement lists the following mill rates for various municipal services: Tax Mill Rate Rate Schools 6.75 City 7.21 Water 0.92 Sewers 0.87 The homeowner paid $8937.50 in property taxes last year. What is the assessed value of his property? a $665,509 b $461,066 C $437.500 d $567,460 0000 Nitin is paid a base salary of $300 per week and commission at the rate of 2.5% for sales over $5000, 4% if his sales are over $10,000, and 4.5% if sales are over $25,000. How much will Nitin earn in a week in which his sales are $20,000? a $800 b $1100 $1200 Od $900

Answers

The assessed value of the homeowner's property is $665,509.  For the second question about Nitin's earnings, we can calculate his total commission based on the sales threshold.


If Nitin's sales are $20,000, he falls into the second threshold of 4% commission rate.
To calculate the assessed value of the homeowner's property, we need to use the formula:
Assessed Value = Property Tax / Total Mill Rate
First, we need to find the total mill rate by adding up the individual mill rates for schools, city, water, and sewers. The mill rate is the amount of tax payable per dollar of the assessed value of the property.
Schools Mill Rate = 6.75
However, this is the assessed value before any exemptions or deductions. To find the final assessed value, we need to multiply this by the equalization rate, which is usually around 0.77 in most municipalities.
Final Assessed Value = Assessed Value x Equalization Rate
Final Assessed Value = $565.714 x 0.77
Final Assessed Value = $665,509
Therefore, the answer is (a) $665,509.
Commission = Sales x Commission Rate
Commission = $20,000 x 0.04
Commission = $800
Adding this to his base salary of $300, Nitin's total earnings for the week would be:
Total Earnings = Base Salary + Commission
Total Earnings = $300 + $800
Total Earnings = $1,100
Therefore, the answer is (b) $1,100.

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What is the present value of a ​$5500 perpetuity discounted back
to the present at 14 ​percent?

Answers

Therefore, the present value of a $5500 perpetuity discounted back to the present at 14 percent is approximately $39,285.71.

To calculate the present value of a perpetuity, we need to discount the cash flow at a given discount rate. In this case, the perpetuity has a cash flow of $5500 and a discount rate of 14%. The present value can be calculated using the formula for the present value of a perpetuity. The formula for the present value of a perpetuity is: PV = Cash Flow / Discount Rate.

In this scenario, the cash flow is $5500 and the discount rate is 14%. Plugging these values into the formula, we can calculate the present value as follows:

PV = $5500 / 0.14

By performing the calculation, we find that the present value of the perpetuity is $39,285.71.

Therefore, the present value of a $5500 perpetuity discounted back to the present at 14 percent is approximately $39,285.71.

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How to solve this?
Prepare a December 31,2020,balance sheet for Long Print Shop from the following:cash,$40,600;accounts payable,$28,600 merchandise inventory,$14,600;Joe Ryan,capital,$47,200;and equipment,$20,600
LONGPRINTSHOP
Balance Sheet
December31,2020
Assets Liabilities

Answers

LONGPRINTSHOP Balance Sheet December 31, 2020

Assets:

Cash: $40,600

Stock: $14,600

Equipment: $20,600

Assets $75,800

$28,600 Accounts Payable

Joe Ryan, $47,200 equity,

Equity and Liabilities: $75,800

Explanation: A company's balance sheet shows its current financial situation. It displays firm assets, liabilities, and equity.

Long Print Shop's balance sheet on December 31, 2020, includes:

Assets:

Company cash: $40,600.

Merchandise Inventory: Goods for sale cost $14,600.

Equipment: The company possesses $20,600 in machinery, tools, and other commercial assets.

Liabilities:

Accounts Payable: $28,600 is owed to vendors for products and services.

Equity:

Joe Ryan's initial investment in the business was $47,200.

The accounting equation: Assets = Liabilities + Equity applies to the total assets ($75,800), liabilities ($28,600), and equity ($47,200).

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An investment manager is considering stocks X1, X2, and X3 for investment. Market research shows the following information (per stock)
X1
X2
X3
cost $100
risk measure 8
price annual growth rate: 9%
annual return: $14
cost $120
risk measure 10
price annual growth rate: 13%
annual return: $15
cost $80
risk measure 7
price annual growth rate: 8%
annual return: $20
Based on his experience, the manager has set the following priorities for the investment:
(1) The total amount invested should be at least $90,000. (d1)
(2) The minimum annual average growth rate in stock prices is 12%. (d2)
(3) The risk factor of all stocks should not exceed an average of 5. (d3)
(4) The total annual return should be $15,000. (d4)
The goal programming objective function can be written as:
Min P1d1+, P2d2+, P3d3-, P4d4-
Min P1d1-, P2d2-, P3d3-, P4d4-
Min P1d1-, P2d2-, P3d3+, P4d4-
Min P1d1-, P2d2-, P3d3+, P4d4+
Min P1d1+, P2d2-, P3d3+, P4d4

Answers

He can invest the entire amount, $90,000 in X2 and $10,000 in X1.

Let X1, X2, and X3 be the stock options being considered. Their characteristics are given below:X1: Cost = $100

Risk measure = 8

Price annual growth rate = 9%

Annual return = $14X2:

Cost = $120

Risk measure = 10

Price annual growth rate = 13%

Annual return = $15X3: Cost = $80

Risk measure = 7

Price annual growth rate = 8%

Annual return = $20

The investment manager has established the following priorities:

Total amount invested must be $90,000 or more.

Minimum annual average growth rate in stock prices is 12%.

The average risk factor of all stocks should not exceed 5.

Total annual return should be $15,000.

The objective function for goal programming is as follows:

Min P1d1+, P2d2+, P3d3-, P4d4-Min P1d1-, P2d2-, P3d3-, P4d4-Min P1d1-, P2d2-, P3d3+, P4d4-Min P1d1-, P2d2-, P3d3+, P4d4+Min P1d1+, P2d2-, P3d3+, P4d4

Solution:X1 X2 X3

Total Cost 100 120 80 300

Risk measure 8 10 7 25

Price annual growth rate 9% 13% 8% —Annual return 14 15 20 —Let X be the amount invested in each stock.

Then, the objective function is Min P1d1+, P2d2+, P3d3-, P4d4-(X1 + X2 + X3) ≥ 90,000 … (1)0.09X1 + 0.13X2 + 0.08X3 ≥ 0.12(X1 + X2 + X3) … (2)8/25 X1 + 10/25 X2 + 7/25 X3 ≤ 5 … (3)0.14X1 + 0.15X2 + 0.20X3 = 15,000 … (4)

The objective function to be minimized is: P1d1+, P2d2+, P3d3-, P4d4-.

Substituting (1), (2), and (3) in the objective function, we getP1(90000 - X1 - X2 - X3)+ P2(0.12(X1 + X2 + X3) - 0.09X1 - 0.13X2 - 0.08X3)+ P3(5 - 8/25 X1 - 10/25 X2 - 7/25 X3) - P4(15000 - 0.14X1 - 0.15X2 - 0.20X3)

Simplifying and rearranging, we get0.34P1 X1 + 0.22P2 X1 - 0.20P2 X2 - 0.12P3 X1 + 0.10P3 X2 - 0.28P3 X3 + 0.14P4 X1 + 0.15P4 X2 + 0.20P4 X3 ≤ 15000 - 90000 P1 + 0.12P2 + 5P3 + 15000 P4

The objective function for this is Min P1d1+, P2d2+, P3d3-, P4d4-. The investment manager needs to invest in X1 and X2. He can invest the entire amount, $90,000 in X2 and $10,000 in X1.

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According to Writing (2019), the purchasing department is responsible for procuring raw materials and other resources at the best possible price. In relation to the above, and with the aid of examples, discuss the functions of the purchasing management.

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The functions of purchasing management include sourcing suppliers, negotiating contracts, managing supplier relationships, ensuring timely delivery, and controlling costs.

 What is   the explanation for this ?

Purchase management   is the management of the company's purchases of products and servicesfrom suppliers and vendors.

For example,purchasing managers   may identify reliable suppliers, negotiate favorable terms,and track   inventory levels to optimize procurement efficiency.

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Rasheed works for Company A, earning $395,000 in salary during 2021.
Assuming he is single and has no other sources of income, what amount of FICA tax will Rasheed pay for the year? (Round your intermediate and final answer to the nearest whole dollar amount.)

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FICA taxes are made up of Social Security tax and Medicare tax. As of 2021, the Social Security tax is 6.2% of earnings up to $142,800. The Medicare tax is 1.45% of earnings with no cap.

Therefore, in order to find out the amount of FICA tax that Rasheed will pay for the year, we have to first calculate the Social Security tax and Medicare tax separately. Then we can add these two amounts together to get the total FICA tax that Rasheed will pay for the year. Social Security tax: $142,800 x 6.2% = $8,853.60 Medicare tax: $395,000 x 1.45% = $5,727.50 Total FICA tax: $8,853.60 + $5,727.50 = $14,581.10

Therefore, Rasheed will pay $14,581.10 in FICA tax for the year.

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The shipping terms are clearly stated in the contract is not a criteria for revenue recognition under ASC Topic 606. The five criteria for revenue recognition under ASC Topic 606 are:
Identify the contract(s) with a customer.
Identify the performance obligations in the contract.
Determine the transaction price.
Allocate the transaction price to the performance obligations in the contract.
Recognize revenue when (or as) the entity satisfies a performance obligation.

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Under ASC Topic 606, the shipping terms being clearly stated in the contract is not a criteria for revenue recognition.

The criteria for revenue recognition under ASC Topic 606 are as follows:1. Identify the contract(s) with a customer: The first criterion for revenue recognition requires that the entity identify the contract(s) with its customer(s). It is considered a contract under Topic 606 if it is approved by the parties involved, the rights and obligations are well defined, the payment terms are determined, the contract has commercial substance and collection of consideration is probable.2. Identify the performance obligations in the contract: The second criterion requires that the entity identifies the performance obligations in the contract, or the promises to transfer goods or services to the customer. Performance obligations are distinct goods or services that are separately identifiable from other parts of the contract.3. Determine the transaction price: The third criterion is about determining the transaction price, which is the amount of consideration that the entity expects to receive in exchange for transferring the promised goods or services to the customer.4. Allocate the transaction price to the performance obligations in the contract: The fourth criterion requires that the entity allocate the transaction price to the performance obligations in the contract. This is done by estimating the stand-alone selling price of each distinct performance obligation and allocating the transaction price in proportion to those amounts.5. Recognize revenue when (or as) the entity satisfies a performance obligation: The fifth and final criterion requires that the entity recognize revenue when (or as) it satisfies a performance obligation by transferring control of a promised good or service to the customer.In conclusion, ASC Topic 606 has a set of five criteria that need to be followed for revenue recognition. These criteria are essential and need to be applied in the order they are listed.

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What is the most effective approach to issues management? O Fighting public opinion Advocating the company position to the public Limiting communication with the public Organizing promotions for public

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The most effective approach to issues management is advocating the company position to the public. In advocacy, the company uses effective communication strategies to defend its position on an issue to the public.

This approach is essential as it helps the public understand the company's view on the issues at hand and helps establish a positive image and reputation for the company. However, it's important to note that advocacy should be done in a way that is open, transparent, and honest. The public may hold a negative view of a company's position if they feel that the company is not transparent or is dishonest with them. Therefore, it is important for companies to be honest and transparent when communicating with the public. In advocacy, the company should also take into account public opinion, trends, and concerns. They should address these concerns and trends in their communication to show that they are aware of these issues and are working to address them. This approach helps to build trust between the company and the public.

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A manufacturer has the capability to produce both chairs and tables. Both products use the same materials (wood, nails and paint) and both have a setup cost ($100 for chairs, $200 for tables). The firm earns a profit of $20 per chair and $65 per table and can sell as many of each as it can produce. The daily supply of wood, nails and paint is limited. To manage the decision-making process, an analyst has formulated the following linear programming model: Max 20x1 + 65x2 - 100yı - 20042 s.t. 5x1 + 10x2 < 100 {Constraint 1} 20x1 + 50x2 > 250 {Constraint 2} 1x1 + 1.5x2 > 10 Constraint 3} Myı 2 X1 Constraint 4} My2 + x2 {Constraint 5} 1, if product is produced o, otherwise yi = Which of the constraints limit the amount of raw materials that can be consumed? Multiple Choice Constraint 1 Constraint 4 0 Constraint 5 O Constrain Constraint 1 and 4 only 0 None of these

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The linear programming model presented in the question aims to determine the optimal production quantities of chairs and tables that maximize the manufacturer's profit while taking into account limited raw materials and setup costs.

The objective function of the model is:

Max 20x1 + 65x2 - 100y1 - 200y2

where x1 is the quantity of chairs produced, x2 is the quantity of tables produced, y1 is a binary variable that takes a value of 1 if chairs are produced and 0 otherwise, and y2 is a binary variable that takes a value of 1 if tables are produced and 0 otherwise. The objective function represents the total profit earned by the manufacturer, which is the difference between the revenue earned from selling chairs and tables and the setup costs incurred.

The model also includes five constraints that limit the production quantities of chairs and tables based on the availability of raw materials and the setup costs. The first constraint limits the total amount of wood and nails that can be consumed per day to 100 units, while the second constraint sets a minimum production requirement for chairs and tables combined. The third constraint limits the total amount of paint that can be consumed per day to 10 units. The fourth constraint ensures that y1 is equal to or greater than x1, which means that chairs can only be produced if y1 is equal to 1. Similarly, the fifth constraint ensures that y2 is equal to or greater than x2, which means that tables can only be produced if y2 is equal to 1.

Out of these constraints, the first three limit the amount of raw materials that can be consumed by the manufacturer per day. Constraint 1 limits the total amount of wood and nails that can be consumed to 100 units, which means that the total consumption of these materials by chairs and tables cannot exceed 100 units per day. Constraint 3 limits the total amount of paint that can be consumed to 10 units, which means that the total consumption of paint by chairs and tables cannot exceed 10 units per day.

Therefore, the constraints that limit the amount of raw materials that can be consumed are:

Constraint 1: 5x1 + 10x2 < 100
Constraint 3: x1 + 1.5x2 > 10

In summary, the linear programming model presented in the question helps the manufacturer determine the optimal production quantities of chairs and tables that maximize its profit while ensuring that the consumption of raw materials and setup costs are within the available limits. The constraints that limit the amount of raw materials that can be consumed are Constraint 1 and Constraint 3.

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Q1: List THREE major changes that you think the COVID-19 pandemic brings about in consumer behavior/sentiment and/or the way that business responds to them? For example, does the pandemic change consu

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The COVID-19 pandemic has had a profound impact on consumer behavior and the way businesses operate.

Three major changes that have emerged from this include an increased focus on health and safety, a surge in e-commerce, and a shift towards remote work. Consumers are now more concerned than ever about their health and safety, and this is reflected in their purchasing behavior. Businesses are responding to this by implementing strict hygiene and social distancing measures, and by prioritizing the health and wellbeing of their employees and customers. The pandemic has also led to a significant increase in e-commerce as more consumers turn to online shopping for convenience and safety reasons.

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The following data were extracted from the financial statements of Zinc Incorporated. Assuming the year has 365 days, calculate the operating cycle and cash conversion cycle of Zinc Inc. [4.5+ 4.5 = 9 marks] Annual credit sales = $70,000 Annual cost of goods sold = $42,500 A Inventory = $7,500 Accounts receivable = $4.800 Accounts payable= $4,000 ii). Discuss three important ways in which the CCC could be reduced.

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To calculate the operating cycle and cash conversion cycle of Zinc Incorporated, we need to use the given data: annual credit sales of $70,000, annual cost of goods sold of $42,500, inventory of $7,500,

accounts receivable of $4,800, and accounts payable of $4,000. The operating cycle is calculated by adding the average age of inventory and the average collection period, while the cash conversion cycle is calculated by subtracting the average payment period from the operating cycle. Three important ways to reduce the cash conversion cycle include managing inventory levels, improving collection processes, and negotiating favorable payment terms with suppliers.

The operating cycle represents the time it takes for a company to convert its inventory into cash from sales. It is calculated by adding the average age of inventory (Inventory / Cost of goods sold per day) and the average collection period (Accounts receivable / Credit sales per day).

Average age of inventory = Inventory / (Cost of goods sold / 365)

Average collection period = Accounts receivable / (Credit sales / 365)

In this case:

Average age of inventory = $7,500 / ($42,500 / 365) = 64.71 days

Average collection period = $4,800 / ($70,000 / 365) = 24.93 days

Operating cycle = Average age of inventory + Average collection period

Operating cycle = 64.71 days + 24.93 days = 89.64 days

The cash conversion cycle is calculated by subtracting the average payment period (Accounts payable / (Cost of goods sold / 365)) from the operating cycle.

Average payment period = Accounts payable / (Cost of goods sold / 365)

In this case:

Average payment period = $4,000 / ($42,500 / 365) = 34.35 days

Cash conversion cycle = Operating cycle - Average payment period

Cash conversion cycle = 89.64 days - 34.35 days = 55.29 days

To reduce the cash conversion cycle, companies can implement several strategies. Firstly, managing inventory levels effectively by optimizing procurement and production processes can help reduce the average age of inventory. Secondly, improving collection processes, such as offering incentives for early payments or implementing stricter credit policies, can help reduce the average collection period. Lastly, negotiating favorable payment terms with suppliers, such as extended payment terms or discounts for early payments, can help increase the average payment period, thus reducing the cash conversion cycle. These measures can enhance a company's liquidity and operational efficiency.

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The following are all examples of product costs:
A Direct material, direct labor and indirect labor.
B Direct labor, VP of sales salary, and insurance on the factory.
C Depreciation on the factory equipment, depreciation on the office building, and depreciation on the factory building.
D Factory insurance, interest expense, and property taxes on the factory.
E Office supplies, sales commissions, and maintenance costs on office copier.

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Product cost is the cost of manufacturing or purchasing a product. Product costs may include direct material, direct labor, and manufacturing overhead. The correct answer is A: Direct material, direct labor, and indirect labor.

There are two primary categories of cost when making a product or offering a service: product costs and period costs. Product costs are expenditures directly related to the manufacturing of a product.

The cost of raw materials, labor, and manufacturing overhead is all part of the total product cost.

Period costs, on the other hand, are costs incurred by the company in running the business.

Office expenses, sales commissions, and maintenance costs are examples of period costs.

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Draw the network diagram and determine the minimum total time (in weeks) using the concept of project crashing for the following data.
Activity Normal time Normal cost Crash time Crash cost
1 - 2 14 1400 8 1700
1 - 3 10 1000 6 1400
1 - 4 16 1200 10 2400
2 - 5 18 1600 14 2500
3 - 5 10 1400 6 2000
3 - 6 12 2200 10 2600
4 - 6 14 2400 10 2900
5 - 7 4 800 2 1000
6 - 7 6 1000 4 1700
If the indirect cost per week is 200, Compute the optimal crashed project completion time

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A network diagram is a graphical representation of the logical relationships between project activities and depicts the sequence in which activities must be completed in order to complete the project.Here is the given tableActivity Normal time Normal cost Crash time.

Crash cost1 - 2 14 1400 8 17001 - 3 10 1000 6 14001 - 4 16 1200 10 24002 - 5 18 1600 14 25003 - 5 10 1400 6 20003 - 6 12 2200 10 26004 - 6 14 2400 10 29005 - 7 4 800 2 10006 - 7 6 1000 4 1700To calculate the optimal crashed project completion time, we need to first draw a network diagram from the above table:Network Diagram.

The optimal crashed project completion time is 44 weeks, calculated as follows:Optimal crashed project completion time = Normal time of critical path + crash time of activity G - normal time of activity G= 46 + (6-4) - 4= 44 weeks.The minimum total time to complete the project using the concept of project crashing is 44 weeks.

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The "Natural Rate" of Unemployment In U.S. data, we have seen the while the unemployment rate fluctuates up and down during cycles of economic expansion and contraction, it does not grow the way GDP per Capita does. It seems to have a stable long-run average, although this average changes from time to time. For example, in the figure below, we show the unemployment rate and the average unemployment rate in each decade. Notice how the 10 year average moves up and down somewhat over time. U.S. Unemployment Rate Unemployment Rate Average by Decade линовил 1950 1960 1980 1990 2000 2010 2020 1970 Source: Bureau of Labor Statistics Our stock-and-flow model of unemployment can help us understand this phenomenon. Consider a simplified version of the stock-and-flow model where we ignore the impact of vacan- cies. That is, suppose that people find jobs out of unemployment at a fixed (exogenous) rate a where a stands for the "accession rate". Let & denote the rate at which people lose their jobs. Then, our model for how the number of unemployed people changes over time is given by Ut+1=Ut-aUt + 8E₁. 1. Suppose the entire population is constant and in the labor force. That is, POP = Et + Ut. Show that in this model, we may write the equation that shows how the unemployment rate, ut will change over time as u+1=ut aut + 6(1-ut). 2. Solve for the steady state level of unemployment, u*. You might note that if ut ut and if u > u, then ut+1 < ut so that this model tends to u* which we may interpret as the "natural rate" of unemployment. 3. Now, suppose that as the economy evolves-say into more technical/intellectual property producing industries-firms become more risky. In other words, imagine that firms go bankrupt more often and as they do, people lose their job more often than they used to. We can model this as an increase in the parameter, & which determines how many employed persons lose their job each year. Explain whether the new steady state has a higher or lower natural rate of unemployment-that is, is the new steady state higher or lower?

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To derive the equation for the change in the unemployment rate over time, we start with the equation from the stock-and-flow model: Ut+1 = Ut - aUt + 8E₁.

Since POP = Et + Ut, we can substitute Ut = POP - Et into the equation, yielding Ut+1 = (POP - Et) - a(POP - Et) + 8E₁.

Simplifying this expression gives Ut+1 = POP - aPOP + (a - 1)Et + 8E₁.

To express this equation in terms of the unemployment rate (ut = Ut/POP), we divide both sides of the equation by POP, giving ut+1 = 1 - a + (a - 1)(Et/POP) + (8E₁/POP). Since Et/POP is the employment rate (1 - ut), the equation becomes ut+1 = 1 - a + (a - 1)(1 - ut) + (8E₁/POP). Simplifying further, we have ut+1 = ut - aut + 6(1 - ut).

To find the steady state level of unemployment (u*), we set ut+1 = ut, yielding ut - aut + 6(1 - ut) = ut. Simplifying this equation, we have -aut + 6(1 - ut) = 0. Rearranging terms, we get -aut + 6 - 6ut = 0. Combining like terms, we have 6 - 6ut = aut. Dividing both sides by a - 6, we find u* = 6/(a - 6).

If the parameter & increases, meaning more employed persons lose their jobs each year, the steady state level of unemployment (u*) will be higher. This is because a higher value of & leads to a higher rate of job losses, which increases the flow of people into unemployment. As a result, the equilibrium unemployment rate will be higher in the new steady state, indicating a higher natural rate of unemployment.

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A local municipality is considering promoting tourism in the city. It will cost $20.000 to develop a plan. The anticipated annual benefits and costs are as follows: Annual benefits: Increased local income and tax collections Annual support service costs: Parking lot expansion, rest room,patrol car and street repair $112,500 $62,500 If the city uses a discount rate of 12% and a study period of ten years, what is the B/C ratio for this project,is this project justifiable according to the benefit-cost analysis? A) This project is justifiable based on the benefit-cost analysis B) This project is not justifiable based on the benefit-cost analysis C) It is ambiguous. D Answers AB and C are not correct

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A local municipality is considering promoting tourism in the city. The B/C ratio for this project is this project justifiable according to the benefit-cost analysis is This project is justifiable based on benefit-cost analysis. The correct option is A.

The cost to develop a plan = $20,000

Annual benefits = Increased local income and tax collections = $112,500

Annual support service costs: Parking lot expansion, restroom, patrol car, and street repair = $62,500

Discount rate = 12%Study period = 10 years

Calculation of B/C ratio:

Net present value (NPV) of the benefits:

NPV = $112,500 {(1-1/(1+0.12)^10)/0.12} = $695,242.75

NPV of the costs :

NPV = $62,500 {(1-1/(1+0.12)^10)/0.12} = $387,143.88

Net Present Value (NPV) of the project:

NPV = -$20,000 + $695,242.75 - $387,143.88 = $288,098.87

Benefit-cost ratio (B/C) = NPV of benefits / NPV of costs = $695,242.75/$387,143.88 = 1.795.

The benefit-cost ratio for this project is 1.795. This project is justifiable based on the benefit-cost analysis since the B/C ratio is greater than 1. Option: A) This project is justifiable based on the benefit-cost analysis.

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Explain the difference between expected loss and unexpected
loss
Bonus Question. Explain under what condition
owning a portfolio of BBB bonds is no risker than owning a
portfolio of AA bonds

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Expected loss is the amount of loss that an individual or an organization is most likely to incur from a specific financial or investment decision or activity.

The expected loss calculation involves assessing the potential risks and returns associated with a specific financial decision. On the other hand, an unexpected loss is a type of loss that an individual or organization incurs due to unforeseen circumstances, such as natural disasters, economic recessions, and market crashes. These types of losses are generally beyond the control of an individual or organization and cannot be predicted easily.The expected portfolio of AA bonds refers to a financial portfolio that comprises different types of AA-rated bonds with an expected loss that is within a certain range. AA bonds are considered relatively low risk, but their expected loss varies depending on various factors such as market trends, the company's financial stability, and the current economic situation. The expected portfolio of AA bonds provides investors with a diversified investment portfolio that aims to minimize potential losses while maximizing returns. In contrast, an unexpected portfolio of AA bonds is one that has incurred losses due to unforeseen circumstances that were not predicted when the portfolio was created.

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which tissue within skin is responsible for producing sweat? Thomas Maki opened a law office on January 1, 2024. During the first month of operations, the business completed the following transactions: (Click the icon to view the transactions.) Read the requirements. Requirement 1. Record each transaction in the journal, using the following account titles: Cash; Accounts Receivable; Office Supplies; Prepaid Insurance; Land; Building; Furniture; Accounts Payable; Utilities Payable; Notes Payable; Common Stock; Dividends; Service Revenue; Salaries Expense; Rent Expense; and Utilities Expense. Explanations are not required. (Record debits first, then credits. Exclude explanations from journal entries.) Jan. 1: Maki contributed $77,000 cash to the business, Thomas Maki, Attorney. The business issued common stock to Maki. Date Accounts Debit Credit Jan. 1 Jan. 1 Jan. 3 Jan. 4 Jan. 7 Jan. 11 Jan. 15 Jan. 16 Jan. 18 Jan. 19 Jan. 25 Jan. 29 Jan. 30 Jan. 30 Jan. 31 Jan. 31 Maki contributed $77,000 cash to the business, Thomas Maki, Attorney. The business issued common stock to Maki. Purchased office supplies, $1,300, and furniture, $2,200, on account. Performed legal services for a client and received $1,200 cash. Purchased a building with a market value of $90,000, and land with a market value of $30,000. The business paid $50,000 cash and signed a note payable to the bank for the remaining amount. Prepared legal documents for a client on account, $1,000. Paid assistant's semimonthly salary, $1,120. Paid for the office supplies purchased on January 3 on account. Received $2,300 cash for helping a client sell real estate. Defended a client in court and billed the client for $1,200. Received a bill for utilities, $650. The bill will be paid next month. Received cash on account, $1,500. Paid $720 cash for a 12-month insurance policy starting on February 1. Paid assistant's semimonthly salary, $1,120. Paid monthly rent expense, $1,900. Paid cash dividends of $3,200. 1. Record each transaction in the journal, using the following account titles: Cash; Accounts Receivable; Office Supplies; Prepaid Insurance; Land; Building; Furniture; Accounts Payable; Utilities Payable; Notes Payable; Common Stock; Dividends; Service Revenue; Salaries Expense; Rent Expense; and Utilities Expense. Explanations are not required. 2. The following four-column accounts have been opened: Cash, 101; Accounts Receivable, 111; Office Supplies, 121; Prepaid Insurance, 131; Land, 141; Building, 151; Furniture, 161; Accounts Payable, 201; Utilities Payable, 211; Notes Payable, 221; Common Stock, 301; Dividends, 311; Service Revenue, 411; Salaries Expense, 511; Rent Expense, 521; and Utilities Expense, 531. Post the journal entries to four-column accounts in the ledger, using dates, account numbers, journal references, and posting references. Assume the journal entries were recorded on page 1 of the journal. 3. Prepare the trial balance of Thomas Maki, Attorney, at January 31, 2024. 1.f(x)=11xf-1(x)=2.f(x)=13xf-1(x)=3.f(x)=2x+5f-1(x)=4.f(x)=9x+14f-1(x)=5.f(x)=(x6)2Find a domain on which f is one-to-one and non-decreasing.Find the inverse of f restricted t need answers on all 54-58 question please.Question 54 of 75. Under the tangible property regulations, taxpayers without applicable financial statements may elect to apply a de minimis safe harbor election. This election allows them to claim a Let N be the number of times a computer polls a terminal until the terminal has a message ready fortransmission. If we suppose that the terminal produces messages according to a sequence ofindependent trials, then N has geometric distribution. Find the mean of N. 1. Draw the undirected graph that represents the relation R = {(1,2), (1, 1), (2,1),(1,3), (3, 1), (3,3)} 2. Is the relation from question 1 a. reflexive? (why or why not) b. symmetric? (why or why not) c. transitive? (why or why not) d. an equivalence relation? (why or why not) What are the term(s), coefficient, and constant described by the phrase, "the cost of 4 tickets to the football game, t, and a service charge of $10?" A firm manufactures headache pills in two sizes A and B. Size A contains 2 grains of aspirin, 5 grains of bicarbonate and 1 grain of codeine. Size B contains 1 grain of aspirin, 8 grains of bicarbonate and 6 grains of codeine. It is found by users that it requires at least 12 grains of aspirin, 74 grains of bicarbonate, and 24 grains of codeine for providing an immediate effect. It requires to determine the least number of pills a patient should take to get immediate relief. Formulate the problem as a LP model. [5M] At a small bank branch, an average of 43 customers arrive per hour according to a Poisson process. Service times are exponentially distributed with a mean of 4.7 minutes. The branch has five teller windows, but the manager has only hired 3 tellers. However, when there are 5 customers in line at the bank, the manager orders his assistant to open another window and work as a teller. Also, when there are 7 customers in line, the manager himself opens another window and also works as a cashier. Suppose the manager and his assistant serve a customer at the same rate as a regular cashier.clearly draw the rate diagram for this (queueing) system Exploring the South Pole by Fiona Douglas 1 Antarctica has captured human curiosity for hundreds of years. In the 1500s, human explorers began to make attempts to land on the continent but to no avail. It wasn't until the 1800s that people first saw the land mass of Antarctica, and it would take them 100 more years to actually set foot on it. Antarctic exploration has come a long way. 2 By the 20th century, countries were competing to explore and use Antarctica's unclaimed wilderness. Antarctica became the focus of many international scientific expeditions. In the 1950s, many countries laid their claims to territories on Antarctica and increased the fear of conflict between these countries. To help establish Antarctica as a land for peace and science, the United States, Russia, and other countries formed scientific research associations. In 1956, the United States Navy sent aircraft to establish scientific research bases on Antarctica for the International Geophysical Year (IGY). The IGY, which lasted from 1956 to 57, was a 12-nation scientific research event that studied the planet's various geographical processes. This event marked the beginning of international cooperation, which finally led to the Antarctic Treaty in 1961. The U.S. Navy aircraft Que Sera Sera before it takes off for the South Pole on October 31, 1956. 3 The Antarctic Treaty states that no country can own Antarctica and that countries can only use Antarctica for peaceful and scientific purposes. It further adds that they can only establish bases on the continent to assist scientific research. This treaty also covers nongovernmental activities that can affect the Antarctic environment, such as tourism and mining. Tourism in the Antarctic region has increased steadily since the 1950s. People are curious about the continent and its untouched wilderness. However, to make sure this curiosity doesn't fracture the natural beauty, the Antarctic Treaty provides rules for visitors and tour operators, especially for the protection o 3.2 Outline two advantages and one disadvantage of a universal basic income over the furlough scheme and over the benefit system for providing everyone with a minimum income.Extract 1: Covid job losses lead MPs to call for trials of universal basic incomeA cross-party group of MPs has called on the government to allow councils to run universal basic income (UBI) trials in response to mass unemployment triggered by the Covid-19 pandemic.A letter to the chancellor, Rishi Sunak, signed by more than 500 MPs, lords and local councillors says pilot schemes are urgently needed as the pandemic unleashes widespread economic disruption and drives up redundancies at the fastest rate on record this winter. Launching a UBI would mean the state paying every adult a basic sum regardless of their income.The letter says issues with the benefit system and the end of the furlough scheme mean Britain is ill-equipped to support people through the financial insecurity of the Covid recession."We must trial innovative approaches which create an income floor for everyone, allowing our families and communities to thrive. The pandemic has shown that we urgently need to strengthen our social security system. The creation of a UBI a regular and unconditional cash payment to every individual in the UK could be the solution," the letter states.One UBI option flagged by the group would be to launch an initial 48 per week payment Critics argue that a UBI would be too expensive to operate and would discourage people from looking for work. There are also calls for alternative policies to meet the same goals as a UBI, such as significantly raising funding for public services or expanding the benefit system and targeting it to support the neediest in society. The following are the data present the time required for an employee to arrange books in a bookstore shelf, and the number of books arranged. Time 9.35 2.16 2.2 6.08 0.28 4.26 8.3 11.06 11 5 6 0.94 8.58 0.16 1.84 (minutes) y Books arranged 25 6 8 17 2 13 23 30 28 14 19 4 24 1 5 X where x = 219, x2 =4575, y = 87.75, v = 742.8655, xy = 1841.98 y a) Find the equation of the least squares line that will enable us to predict time takes to arrange books based on number of books arranged.(2 marks) b) Predict the time takes to arrange 20 books. (1 mark) c) Compute the error of prediction in part (b), when the actual time taken to arrange 20 books is 8 minutes.(1 mark) d) Calculate the correlation coefficient then comment. (2 marks) e) Compute the percentage of the total variation in Y explained by X. Prove that for the velocity field streamlines are circular A fixed asset with a 10-year life and no salvage value is purchased. Estimated output is 10,000 units. Actual units produced in its first 8 years are 9,200 units. Which depreciation method will result in the highest book value at the end of the eighth year?Select one:a.Straight-lineb.Double-declining balancec.Units of productiond.Sum-of-the-years'-digits what is the appropriate description for a chain style franchise today you put $200 into an investment that earns 8 % per yearwith semiannual compounding . After three years your investment isworth ? how much ?A. $135B. $252C. $253D.$158 nancy cotton bought 400 shares of netalk for $15 per share. one year later, nancy sold the stock for $21 per share, just after she recieved a $0.90 cash dividened from the company one method an is professional might use to find a new job would be Price : $86.36 ; Forward Dividend: $2.08 ; 1T Target Est : $105.28. Given the information in the table, if the required return on the stock is 13.1%, what is the value of the stock? 11Please answer the question11. A dollar-denominated bond sold in France is called