Show that the optimal value of the dual problem is always less
than or equal to the optimal value of the primal problem.

Answers

Answer 1

To show that the optimal value of the dual problem is always less than or equal to the optimal value of the primal problem, we can use the concept of weak duality in linear programming.

In linear programming, we have a primal problem and its corresponding dual problem. The primal problem aims to maximize an objective function subject to certain constraints, while the dual problem aims to minimize a different objective function subject to dual constraints.

Let's denote the optimal value of the primal problem as P* and the optimal value of the dual problem as D*. According to weak duality, we have the following relationship:

D* ≤ P*

In other words, the optimal value of the dual problem is always less than or equal to the optimal value of the primal problem.

This result holds true for any linear programming problem, regardless of its specific formulation or constraints. It is a fundamental property of linear programming and is derived from the duality theory in optimization. Intuitively, weak duality implies that if we maximize the objective function in the primal problem, we cannot achieve a lower value than the optimal value of the dual problem, which aims to minimize a different objective function but subject to the same set of constraints.

Therefore, the optimal value of the dual problem is always a lower bound on the optimal value of the primal problem, and it can be equal to the optimal value in certain cases.

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Related Questions

What are some of the barriers to entry that monopolies would use? Which do you think is the best barrier to use? Why? 2. Comparing a perfectly competitive firm and a monopoly what happens to the price and the quality of the goods?

Answers

A monopoly is a market with a single seller or producer. Monopolies create significant entry barriers to prevent competition from new entrants. Barriers to entry can be natural, technological, economic, or strategic. The following are some of the common barriers that monopolies use:Legal Barriers:

A legal barrier is one that is imposed by the law. For example, patents and copyrights provide an exclusive right to the owner of the invention or creation to produce and sell it in the market. Therefore, legal barriers protect intellectual property rights from infringement and create entry barriers. Natural Barriers: Natural barriers are those that arise due to the unique characteristics of a product or service.

For instance, a firm may have a monopoly on the production and sale of a mineral that is only available in a specific geographical area. Therefore, natural barriers arise due to a lack of resources or unique technology that is required to produce a product. Economies of Scale: Economies of scale refer to the cost advantages that a firm can achieve by producing large quantities of goods or services.

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Lincoln Company purchased merchandise from Grandville Corp. on September 30, 2021. Payment was made in the form of a noninterest-bearing note requiring Lincoln to make six annual payments of $6,400 on each September 30 , beginning on September 30, 2024. (FV of \$1. PV of \$1. FVA of \$1. PVA of \$1. FVAD of \$1 and PVAD of \$1) (Use appropriate factor(s) from the tables provided. Round your final answer to nearest whole dollar amount) Requlred: Calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30,2021 , assuming that an interest rate of 11% properly reflects the time value of money in this situation.

Answers

Given that, Lincoln Company purchased merchandise from Grandville Corp on September 30, 2021.

Payment was made in the form of a non-interest-bearing note requiring Lincoln to make six annual payments of $6,400 on each September 30, beginning on September 30, 2024.To calculate the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2021, we have to find the present value of the six annual payments of $6,400 at 11%.Below is the table used to find PVIFA, which is the present value of the annuity factor.  

Since the payment is made at the end of each year, we use the PVIFA factor of

n = 6

and i = 11%.

PVIFA (6 periods, 11% rate) = 4.62210

Now we can calculate the present value of the note as follows:

Present Value = Payment * PVIFA

= $6,400 * 4.62210

= $29,557.04

So, the amount at which Lincoln should record the note payable and corresponding purchases on September 30, 2021, assuming that an interest rate of 11% properly reflects the time value of money in this situation, is $29,557.

Hence, the required answer is 29,557 dollars.

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1. Consider a $1,000 par value bond with a 7% annual coupon. The bond pays interest annually. There are 2 years remaining until maturity. What is the current yield on the bond assuming that the required return on the bond is 10%?
2. A bond has a current price of $800, a maturity value of $1,000 (matures in 5 years). If interest is paid semi-annually and the bond has a current yield of 8%, what is the bond's annual coupon rate?
3. The $1,000 face value bond has a coupon rate of 6%, with interest paid semi-annually, and matures in 5 years. If the bond is priced to yield 8%, what is the bond's value today?

Answers

1. We are given a bond that has a $1,000 face value, pays a 7% annual coupon, and has two years remaining to maturity. The required return on the bond is 10%.The first step is to calculate the price of the bond.

To do this, we need to determine the present value of the future cash flows, which are the annual coupon payments and the face value received at maturity.Using the formula for the present value of an annuity, the present value of the two annual coupon payments of $70 each is $130.Using the formula for the present value of a future sum, the present value of the $1,000 face value received at maturity is $826.45.

The total present value of the future cash flows is $956.45. This is the price of the bond.The current yield is the annual coupon payment ($70) divided by the price of the bond ($956.45), which is approximately 7.31%.2. The bond is priced at $800 and has a face value of $1,000. It matures in five years and pays interest semiannually. The bond has a current yield of 8%.To calculate the annual coupon rate, we first need to determine the semiannual coupon payment. We can do this by multiplying the face value of the bond by the current yield and dividing by two.(Face value) × (Current yield) ÷ 2 = Semiannual coupon payment(1,000) × (0.08) ÷ 2 = $40The annual coupon payment is equal to two times the semiannual coupon payment.(

Semiannual coupon payment) × 2 = Annual coupon payment(40) × 2 = $80To determine the annual coupon rate, we divide the annual coupon payment by the face value of the bond.(Annual coupon payment) ÷ (Face value) = Annual coupon rate(80) ÷ (1,000) = 8%The bond's annual coupon rate is 8%.3. We are given a bond with a face value of $1,000, a coupon rate of 6%, semiannual payments, and a maturity of five years. The bond is priced to yield 8%.We can use the present value of an annuity formula to calculate the present value of the semiannual coupon payments. To do this, we need to determine the semiannual coupon payment and the number of semiannual periods.(Coupon rate) × (Face value) ÷ 2 = Semiannual coupon payment(0.06) × (1,000) ÷ 2 = $30The number of semiannual periods is equal to the number of years to maturity times two.(Number of years to maturity) × 2 = Number of semiannual periods(5) × 2 = 10Using the formula for the present value of an annuity, we can calculate the present value of the semiannual coupon payments.

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A Commercial General Liability policy will exclude coverage for bodily injury and property damage arising from all of the following, except:
A
Workplace injuries, as obligated under Workers' Compensation laws
B
Host liquor liability
C
Insured’s intent to cause injury
D
Damage to the insured’s own property

Answers

Commercial General Liability (CGL) policies exclude coverage for certain claims. The coverage exclusions in a Commercial General Liability policy include bodily injury and property damage arising from all of the following, except:

Workplace injuries, as obligated under Workers' Compensation laws, host liquor liability, damage to the insured’s own property, and any act committed intentionally by the insured that results in injury or damage.Workers' Compensation Laws require employers to provide coverage for injuries or illnesses that occur as a result of an employee’s work. The policy, therefore, cannot exclude coverage for such workplace injuries. This is because workers’ compensation coverage is compulsory.

Hence, this option A is excluded from the coverage exclusion. A commercial general liability policy also provides coverage for property damage and bodily injury caused by the insured party. But there are certain limitations to this coverage, which are called exclusions. These exclusions are included to protect insurers against high-risk events that could result in large payouts. The intent to harm another person or damage property is an exclusion in commercial general liability coverage.Therefore, the answer is option C.

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Given UNF's incredible growth and success, other regional universities have begun turning to animal mascots for guidance in response to their own problems. This is an example of what type of change?
A. Proactive change
B. Natural change
C. Reactive change
D. Animal-based change

Answers

The given situation that regional universities have begun turning to animal mascots for guidance in response to their own problems is an example of what type of change, can be classified as Proactive change.

More than 100 words explanation:

Proactive change is a deliberate attempt made by organizations to anticipate possible future changes and act in advance to them before they occur.

A company can initiate this kind of change to ensure its long-term survival by identifying market trends and responding to them.

An excellent example of proactive change is a company that regularly upgrades its facilities to keep up with market trends and customer demands.

Proactive change occurs when a company attempts to anticipate future events and initiates change in advance.

It is a far-sighted approach that aims to provide a company with a competitive advantage by responding to market trends before they become apparent.

Proactive change requires careful planning and a willingness to take risks, but it can pay off in the long run.

Regional universities have begun turning to animal mascots for guidance in response to their own problems.

This decision is an excellent example of proactive change.

They recognized that UNF's approach to using an animal mascot for guidance had helped to boost the university's growth and success,

so they made a conscious decision to adopt a similar strategy to help them achieve their objectives.

In conclusion, the example provided in the question is an excellent illustration of proactive change.

By anticipating future changes and acting in advance,

regional universities can gain a competitive advantage and ensure their long-term success.

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career and wants to advance to higher level of management. Maria knows that is important to show efficiency as a server, having higher than average sale per server. This ratio is computed by Select one: a. Total sales a server is responsible for in a period of time (day, week, month) divided by number of seats in a restaurant b. Dividing total sales Maria makes in a shift by number of guests she serves in a shift c. Dividing total shift sales by number of servers working in that shift d. Dividing number of guests served in a shift by average guest check.

Answers

The correct answer is option A. Maria, who wants to advance to a higher level of management in her career, knows that it is essential to show efficiency as a server by having a higher than average sale per server.

This ratio is computed by dividing total sales a server is responsible for in a period of time (day, week, month) by the number of seats in a restaurant. Thus, the correct answer is option A.

The ratio of higher than average sale per server is essential to advance to a higher level of management. This ratio is computed by dividing total sales a server is responsible for in a period of time (day, week, month) by the number of seats in a restaurant. Maria should maintain a high level of efficiency as a server to ensure that she maintains a higher than average sale per server.

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aron, brown and claire formed a partnership business. their capital balances are: aron $100,000, brown $60,000 and claire $40,000, and the p/l ratios are: aron 20%, brown 50% and claire 30%. daniel wants to join the business with 20% interest for a total payment of $60,000. daniel paid the money directly to the partners. record the admission of daniel following the book value approach.

Answers

The adjusted capital balances after Daniel's admission following the book value approach are:

Aron: $130,480

Brown: $116,200

Claire: $67,720

Daniel: $52,400

How to calculate the value

Aron's new capital balance: $100,000 + $20,000 (20% of $100,000) = $120,000

Brown's new capital balance: $60,000 + $30,000 (50% of $60,000) = $90,000

Claire's new capital balance: $40,000 + $12,000 (30% of $40,000) = $52,000

Total adjusted capital = $120,000 + $90,000 + $52,000 = $262,000

Daniel's capital contribution = Total adjusted capital * Daniel's interest

Daniel's capital contribution = $262,000 * 20% = $52,400

Aron's allocated capital = $120,000 + ($52,400 * 20%) = $120,000 + $10,480 = $130,480

Brown's allocated capital = $90,000 + ($52,400 * 50%) = $90,000 + $26,200 = $116,200

Claire's allocated capital = $52,000 + ($52,400 * 30%) = $52,000 + $15,720 = $67,720

Daniel's capital balance = Daniel's capital contribution

Daniel's capital balance = $52,400

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Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require this initial fee. Some financial advisors argue that the load mutual funds may be worth the extra fee because these funds provide a higher mean rate of return than the no-load mutual funds. A sample of 30 load mutual funds and a sample of 30 no-load mutual funds were selected. Data in the file Mutual were collected on the annual return for the funds over a five-year period.
a. Formulate H0 and Ha such that rejection of H0 leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period.
b. Conduct the hypothesis test. What is the p-value? At a = .05, what is your conclusion?

Answers

a. Formulate H0 and Ha such that rejection of H0 leads to the conclusion that the load mutual funds have a higher mean annual return over the five-year period. The hypotheses of the test are as follows:

Null hypothesis, H0: μL = μN where μL and μN are the population means of the load and no-load funds, respectively. Alternate hypothesis, Ha: μL > μN which implies that the mean annual return of the load funds is more significant than the mean annual return of the no-load funds.

The rejection of the null hypothesis (H0) would lead to the conclusion that the load mutual funds have a higher mean annual return over the five-year period. This implies that the alternate hypothesis (Ha) is true.

b. Conduct the hypothesis test. What is the p-value? At a = .05, what is your conclusion? The given level of significance (α) = .05.The sample size for the load funds (nl) is 30, and for the no-load funds (n2) is 30. A two-tailed t-test will be conducted to test the hypothesis since the alternative hypothesis is directional. The formula to calculate the t-test for independent means is given below:

t = x 1 - x 2 / Spx1 - x2 = (Σx1) /nl = 5.75x2 - (Σx2) / n2 = 4.52Spx1 - x2 = sqrt [ (s12 / nl) + (s22 / n2) ]

Where x1 = the mean annual return of the load fundsx2 = the mean annual return of the no-load fundsSpx1 - x2 = the pooled standard error S12 = the variance of the load funds S22 = the variance of the no-load funds

Using the given data, the calculations of the test are shown below: Given that: Mean annual return of load funds, x1 = 12.42

Mean annual return of no-load funds, x2 = 10.78 Sample size of load funds, nl = 30 Sample size of no-load funds, n2 = 30Variance of load funds, s12 = 14.71

Variance of no-load funds, s22 = 13.17T = (12.42 - 10.78) / sqrt [ (14.71 / 30) + (13.17 / 30) ]= 1.86 The degrees of freedom for the t-test are (nl + n2 - 2) = (30 + 30 - 2) = 58.

The p-value corresponding to t = 1.86 and degrees of freedom = 58 is 0.0321.

Conclusion: At a level of significance of .05, since the p-value (0.0321) < α (0.05), we can reject the null hypothesis. We can conclude that the load mutual funds have a higher mean annual return over the five-year period compared to the no-load mutual funds.

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Security A and security B both provide semi anual payment of 89 over 5Year. the annual rate of return for both securities is 6.5%. both securities will provide the smae number of payments, but the payments for Security A occur atthe beginning of the month and the payment for Security B occur at the end of the month. What is the difference in the present value of these two sets of payment?
12.86 18.96 15.86 25.98 24.36
Your employer contributes 50 a week to your retirement plan. Assume that you work for your employer for another sixteen years and that the applicable discount rate is 6.5 %,compounded weekly. Givn these assumptions, what is this employee benefit worth to you today?
24135.99
25852.63
24218.04
25920.55
21574.68

Answers

Both securities are essentially similar, except for the timing of payments. In general, the sooner the payment is received, the more valuable it is, so the present value of Security A payments will be higher than Security B payments.

in order to find the difference in present value of these two sets of payments, we must subtract the present value of Security B payments from the present value of Security A payments.

The present value of employee benefit given that your employer contributes $50 a week for another 16 years and the applicable discount rate is 6.5%, compounded weekly is as follows:

PV = payment amount x present value factorn the employee benefit is worth $30,231.54 today.

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Choose an oligopoly industry from your home country that creates a negative externality. (CASE STUDY)

Answers

The oligopoly industry I have chosen from my home country, which creates a negative externality is the telecommunication industry.

An oligopoly market is a type of market where a few companies dominate the market with their similar products. In the telecommunication industry, few companies provide services to millions of consumers.

The telecommunication industry has created a negative externality that has affected its consumers and society as a whole.

Telecommunication companies have been known to produce an excessive amount of electronic waste.

Millions of cellphones, computers, tablets and other devices that the company produces become outdated each year and are disposed of, which creates an environmental problem for society.

The disposal of these devices and their batteries affects the environment, leading to soil and water pollution.

Electronic waste also contains harmful chemicals that pose health risks to people and animals that come into contact with them.

Many telecommunication companies do not have an environmentally friendly waste management system, which further exacerbates the problem.

Furthermore, the oligopoly nature of the telecommunication industry leads to an increase in prices of telecommunication services.

Consumers have limited choices to choose from, and since a few companies dominate the market, these companies can fix their prices higher than they would be in a more competitive market.

This, in turn, affects the consumers' purchasing power and the country's economy as a whole.

The excessive production of electronic waste and the rise in prices of telecommunication services have posed problems that need urgent attention from the government and the industry itself.

There should be more regulations on waste management, and competition should be encouraged to create a more conducive environment for consumers and the economy.

In conclusion, the telecommunication industry in my home country, an oligopoly market, has created a negative externality that has impacted the environment, society, and the economy.

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Van Buren Resources Inc. is considering borrowing $80,000 for 197 days from its bank. Van Buren will pay $5,000 of interest at maturity, and it will repay the $80,000 of principal at maturity. Assume that there are 365 days per year.
Calculate the loan’s annual financing cost. Round your answer to two decimal places.
%
Calculate the loan’s annual percentage rate. Round your answer to two decimal places.
%
What is the reason for the difference in your answers to Parts a and b?
The -Select-AFCAPRItem 3 does not consider compounding effects.

Answers

Borrowed amount, PV = $80,000 Days to maturity, n = 197 days

Total Interest paid at maturity, I = $5,000

Calculation of annual financing cost (AFC):

[tex]$$AFC=\frac{I}{PV\times n}$$$$AFC=\frac{5,000}{80,000\times \frac{197}{365}}$$$$AFC=0.0834=8.34\%$$[/tex]

Calculation of Annual percentage rate (APR):

[tex]$$APR=100\times \left(\frac{I}{PV}\times\frac{365}{n}\right)$$$$APR=100\times\left(\frac{5,000}{80,000}\times\frac{365}{197}\right)$$$$APR=17.05\%$$[/tex]

Reason for the difference in the answers of AFC and APR:

APR is higher than AFC because APR takes into account the effect of compounding of interest, while AFC does not consider the compounding effect.

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why must an employer implement an exposure control plan? a. to reduce their malpractice insurance premiums b. to ensure that the employer does not receive penalties for not doing so c. to ensure proper employee protection measures d. to make sure all employees are trained on hipaa guidelines

Answers

The reason  an employer implement an exposure control plan is:  c. to ensure proper employee protection measures .

What is exposure control plan?

Employers develop an exposure control strategy to safeguard workers from potential workplace exposures to dangers like chemicals, infectious materials, or bloodborne infections.

Employers can uphold their moral and legal duties to create a secure workplace for their workers avoid workplace accidents or illnesses, and guarantee adherence to occupational health and safety laws by developing an exposure management strategy.

Therefore the correct option is C.

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All of the following are informal reports EXCEPT(1 Point) informational report progress report business memo minutes of meeting 36. How many pages consist in a formal report for big projects?(1 Point) 5 to 200 or more 1 to 100 pages or more 10 to 150 pages of more 2 to 50 pages of more. 37. Based on the information below, which organizational pattern is being stated? "useful in showing time relationships, such as, five year profit figures or a series of events leading to a problem" (1 Point) compare/contrast chronological convention topic/function 38. If you are someone who has extensive amount of work experience and you are showing steady growth in your career then you would benefit by using which type of resume format? (1 Point) chronological resume functional resume combined resume none of the above

Answers

1. All of the following are informal reports EXCEPT Minutes of meeting. Minutes of Meeting are formal reports. The minutes of meeting are an official written record of a meeting.

The main purpose of the minutes of the meeting is to keep a record of the decisions and plans of the meeting and to inform others who were unable to attend the meeting. It includes all the details of the discussion and the decisions made.

2.  How many pages consist in a formal report for big projects? 10 to 150 pages or more. The number of pages for a formal report for big projects is usually 10 to 150 pages or more. It includes all the details about the project such as the methodology, findings, conclusions, and recommendations. The length of the report depends on the nature and scope of the project. For instance, a research report may be longer than a report on the implementation of a new system in an organization.

3. Chronological organizational pattern is useful in showing time relationships, such as five-year profit figures or a series of events leading to a problem. This pattern is used when presenting information in a chronological order or when the sequence is important to the understanding of the topic.

4. If you are someone who has an extensive amount of work experience and you are showing steady growth in your career, then you would benefit from using the chronological resume format. The chronological resume format is the most common and widely used format. This format emphasizes your work experience and presents your employment history in reverse chronological order.

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if unrealized inter-company profits in ending inventory exceed unrealized inter-company profits in beginning inventory, what will be the effect of the consolidation entries to eliminate unrealized inter-company inventory profits?

Answers

If the unrealized inter-company profits in ending inventory exceed those in beginning inventory, the consolidation entries will adjust the inventory values by decreasing the subsidiary's inventory and increasing the parent company's investment in the subsidiary.

The consolidation entries to eliminate unrealized inter-company inventory profits depend on whether the subsidiary's inventory was sold or still on hand at the end of the period. Here's a step-by-step explanation:

1. If the subsidiary's inventory was sold by the end of the period, the consolidation entries will not be affected. Unrealized inter-company profits in beginning inventory are already eliminated when the subsidiary's inventory is sold to an external party.

2. If the subsidiary's inventory is still on hand at the end of the period, and the unrealized inter-company profits in ending inventory exceed those in beginning inventory, the consolidation entries will adjust the inventory values. Here's the process:

  a. Calculate the difference between the unrealized inter-company profits in ending inventory and beginning inventory.

  b. Create an adjusting entry to decrease the subsidiary's inventory and increase the parent company's investment in the subsidiary.

  c. Decrease the subsidiary's inventory by the calculated difference.

  d. Increase the parent company's investment in the subsidiary by the same calculated difference.

  e. This adjustment ensures that the inter-company profits are eliminated, resulting in more accurate consolidated financial statements.

In conclusion, if the unrealized inter-company profits in ending inventory exceed those in beginning inventory, the consolidation entries will adjust the inventory values by decreasing the subsidiary's inventory and increasing the parent company's investment in the subsidiary. This adjustment eliminates the unrealized inter-company inventory profits, leading to more accurate consolidated financial statements.

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: As a professional engineer, you are required to demonstrates application of knowledge and understanding of the impact of engineering activity on the society, economy, industrial and physical environment, cultural and address issues by analysis and evaluation to manage risk. [20]

Answers

As a professional engineer, it is crucial to apply knowledge and understanding of how engineering activities impact society, the economy, the industrial and physical environment, and cultural aspects. This includes analyzing and evaluating these impacts to effectively address issues and manage risks associated with engineering projects.

Professional engineers have a responsibility to assess the consequences of their engineering activities across various domains. They need to consider the societal impact by ensuring their projects align with public needs, safety, and well-being. Evaluating the economic implications involves conducting cost-benefit analyses and assessing the project's contribution to the economy.

Furthermore, engineers must address the industrial and physical environment by mitigating adverse effects on natural resources, minimizing pollution, and promoting sustainability. Cultural considerations involve respecting cultural heritage, diversity, and inclusivity in engineering designs and implementations.

Through analysis and evaluation, engineers identify potential risks associated with their projects and implement strategies to manage and mitigate those risks effectively. By demonstrating these competencies, professional engineers ensure that their work aligns with societal values, promotes sustainable development, and effectively manages risks.

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Required information Problem 12-6A (Algo) Use ratios to analyze risk and profitability ( LO12-3, 12-4) [The following information applies to the questions displayed below.] Income statements and balance sheets data for Virtual Gaming Systems are provided below. Required: 1. Assuming that all sales were on account, calculate the following risk ratios for 2024 and 2025

Answers

We need additional data, such as net income, total assets, and total liabilities, to compute risk ratios for Virtual Gaming Systems for 2024 and 2025.

It is impossible to generate detailed risk ratio estimations without these specifics. I can, however, give you a list of often employed risk ratios that you can compute using the pertinent data from the income statements and balance sheets:1. Debt-to-Equity Ratio: This ratio assesses how much debt financing there is compared to equity financing and shows how risky and leveraged the company's finances are.2. Current Ratio: This ratio evaluates the company's capacity to pay current obligations and short-term liquidity

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In Spain, a glass of wine costs 5 euros. In Canada, a glass of wine costs 6 Canadian dollars. If the exchange rate is 0.6 euros per Canadian dollar, what is the real exchange rote? 2 glatses of Spanish mine per glass of Canadian wine 0.5 glasses of Spanish wine per glass of Canadian wine 1.39 glasses of Spanish wine per glass of Canadian wine Q.72 glasses of Spanish wine per glaes of Canadian wine

Answers

The real exchange rate is 0.83 glasses of Spanish wine per glass of Canadian wine.

To calculate this, divide the cost of Spanish wine (5 euros) by the cost of Canadian wine (6 Canadian dollars multiplied by the exchange rate of 0.6 euros per Canadian dollar). the result is 0.83, indicating that you can buy approximately 0.83 glasses of Spanish wine for the price of 1 glass of Canadian wine. to calculate the real exchange rate between Spanish wine and Canadian wine, we need to determine how many glasses of Spanish wine you can buy for the price of one glass of Canadian wine.  given that a glass of Spanish wine costs 5 euros and a glass of Canadian wine costs 6 Canadian dollars, we need to convert the Canadian dollar price into euros using the exchange rate of 0.6 euros per Canadian dollar.

First, we calculate the price of one glass of Canadian wine in euros: 6 Canadian dollars * 0.6 euros per Canadian dollar = 3.6 euros now, we can determine the real exchange rate by dividing the cost of Spanish wine (5 euros) by the cost of Canadian wine in euros (3.6 euros) 5 euros / 3.6 euros = 1.39 therefore, the real exchange rate is approximately 1.39 glasses of Spanish wine per glass of Canadian wine. This means that for the price of one glass of Canadian wine, you can buy approximately 1.39 glasses of Spanish wine.

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Beyond Contingent Workforce Management: Embracing an Agile Workforce
An agile workforce is defined not only by its unique, non-traditional organizational architecture but also by its specific make-up. The agile workforce is made up of knowledge workers." whether internal employees or external independents. Therefore, understanding the knowledge workforce both sheds light on the make-up of an agile workforce and helps explain why the agile workforce model has become compelling at this time.
Understanding that an agile workforce is, by definition, a knowledge workforce goes a long way in explaining what an agile workforce is and why the agile workforce model is becoming
increasingly relevant and compelling. For example, internal and external knowledge workers may be expensive, but they are essential to an organization's performance. While they arguably
contribute the highest per capita value to an organization (or at least have the potential to) the maximization of that value depends upon how that knowledge workforce is organized and
managed. The agile workforce model actually accomplishes this and transforms an organization's underutilized, organizationally suboptimized internal and external knowledge workforce into a efficient, flexible, high-impact agile workforce.
An agile workforce is not only a collection of specific kinds of workers or talent. It is also those workers organized under a unique innovative work architecture or workforce model that, unlike the contingent workforce supply chain model, integrates work execution with access to skills and expertise that may reside inside the organization or be found outside of it.

Answers

An agile workforce is an organizational model characterized by a non-traditional architecture, which is made up of knowledge workers, whether internal employees or external independents.

This means that an agile workforce model maximizes the value of knowledge workers and transforms the internal and external knowledge workforce of an organization into a flexible, efficient, high-impact workforce.

The agile workforce model is increasingly relevant and compelling because knowledge workers are expensive but essential to an organization's performance.

Although they potentially contribute the highest per capita value to an organization, the maximization of that value depends on how the knowledge workforce is organized and managed. Therefore, an agile workforce model is needed to organize and manage knowledge workers effectively.

In addition, the agile workforce model integrates work execution with access to skills and expertise that may reside inside the organization or be found outside of it, unlike the contingent workforce supply chain model.

This means that the agile workforce model is not only a collection of specific kinds of workers or talent, but also a unique innovative work architecture or workforce model that maximizes the value of knowledge workers.

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HW Setup an amortization schedule for a $96,000 loan, to be repaid in 33/4 years with quarterly payments at an interest rate of 8%, compounded quarterly. n=?? i=?? i=??

Answers

Setup an amortization schedule for a $96,000 loan, to be repaid in 33/4 years with quarterly payments at an interest rate of 8%, compounded quarterly`. solve the above question, we can use the formula:

PV = [C/(1 + i) + C/(1 + i)^2 + ... + C/(1 + i)^n] - B(1 + i)^-n

Where,PV = Present Value of the loan

C = Payment made at the end of each period

i = Interest rate per period

n = Total number of periods

The interest rate per period `i` can be calculated as `i = 0.08/4 = 0.02` (since the interest rate is 8% per annum and compounded quarterly)The value of `i` can also be considered as `2%`.

Substituting these values in the above equation, we get:

96000 = [C/(1 + 0.02) + C/(1 + 0.02)^2 + ... + C/(1 + 0.02)^33] - B(1 + 0.02)^-33

Now, let's find the value of `C`. We know that the loan is to be repaid in 33/4 years and there are 4 quarters in a year.

Therefore, the total number of payments `m` that needs to be made is `m = 33 × 4 = 132`.The amount of each quarterly payment can be calculated using the formula:

PMT = PV[i(1 + i)^n]/[(1 + i)^n - 1]

PMT = 96000[0.02(1 + 0.02)^15]/[(1 + 0.02)^15 - 1]

PMT = 96000(0.02 × 4.6419)/(4.6419 - 1)

PMT = 96000(0.09284) / 3.6419

PMT = 2448.98 ≈ 2449

Therefore, each quarterly payment should be $2449.

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The desire of capitalist employers toen was down yet their reliance on high wage earners to buy their products is an example of which of the following theories of deviance? A. strain theory B. opportunity theory C. differential association theory D. structural contradiction theory

Answers

Strain theory  economic factors and inequalities can contribute to deviant behavior, as individuals may resort to illegal or unconventional means to address their frustrations and pursue their goals.

in the face of limited opportunities or resources. The theory of deviance that best fits the described scenario is A. strain theory. Strain theory suggests that deviance arises when there is a disconnection between socially accepted goals and the means to achieve them. In this case, the desire of capitalist employers to lower wages reflects a strain between their goal of maximizing profits and their reliance on high wage earners as consumers. By lowering wages, they limit the purchasing power of potential customers, leading to a contradiction in their goals and means. This strain can potentially push individuals to engage in deviant behavior as they seek alternative ways to meet their needs or maintain their desired lifestyle.

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Forwards & Arbitrage Opportunities
Suppose that the exchange rate between the US dollar and the Euro is Edollar/euro 1.1, and that you = expect it to be around 1.3 in 6 months from now. Suppose also that you have 10,000 dollars and that the forward rate of dollars per euro is Fdollar/euro = 1.2. Describe in detail the arbitrage strategy that you would engage in and calculate the profits you would obtain from it.

Answers

Arbitrage is the simultaneous purchase and sale of an asset to profit from the difference in price between two markets. The concept of forward rate arbitrage involves the difference between the spot and forward rate of two currencies. To take advantage of this arbitrage opportunity, traders would typically follow these steps:

First, convert the 10,000 dollars to Euros at the current spot rate:

10,000 USD * 1.1 (spot rate) = 11,000 Euros

Then, enter into a forward contract to sell Euros and buy dollars in 6 months time at the forward rate:

11,000 Euros / 1.2 (forward rate) = 9,166.67 USD

Now, we need to calculate how much profit we make by holding this forward contract. If the exchange rate moves as expected to 1.3 in 6 months, the profit would be:

11,000 Euros * (1.3 - 1.1) = 2,200 Euros

Converting this back to USD at the forward rate, we get:

2,200 Euros / 1.2 (forward rate) = 1,833.33 USD

Therefore, the total profit is:

1,833.33 - 9,166.67 = $7,333.33

By engaging in this arbitrage strategy, the trader would earn $7,333.33 in profit. This is a low-risk strategy because the trader has locked in a known profit by purchasing the Euros at the current spot rate and selling them forward at the known forward rate. However, in practice, the opportunity for forward rate arbitrage may not exist due to factors such as transaction costs, interest rates, and liquidity constraints.

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The development of Computerized Information Systems could be due to the environment factors. Identify and explain an Information System which could be developed in the market or industry due to the following factors. You are required to discuss how the factor contributes to the development of the identified Information System:
a. Increment of global competition
b. Encouragement the usage of public transport.
c. Rapid usage of E-Commerce
d. Increment of working couples

Answers

The development of Computerized Information Systems (CIS) has been impacted by a wide range of environmental factors. In this context, this essay is aimed at identifying and explaining the information system which could be developed in the market or industry due to the following factors such as increment of global competition.

Encouragement of the usage of public transport, rapid usage of E-Commerce, and an increment of working couples. 1. Increment of Global Competition The development of the Supply Chain Management (SCM) information system can be explained by the increment of global competition in the market.

In today’s world, it is essential for the organization to have strong and effective SCM as the competition is increasing day by day. SCM is a system that manages and coordinates the movement of products and services from the supplier to the consumer.

This system optimizes the product’s flow in a supply chain to achieve maximum customer value and minimize the costs. Therefore, SCM has been developed to face global competition to optimize the production process and product delivery to the customers.

2. Encouragement of the Usage of Public Transport The Intelligent Transport System (ITS) information system is an example of an information system that could be developed due to the encouragement of the usage of public transport. ITS uses advanced technologies to improve transport efficiency, safety, and traffic management.

The system optimizes the use of transportation infrastructures by reducing congestion, emissions, and accidents. This system has been developed to encourage the use of public transport, as it promotes a greener and more sustainable environment.  

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Projects that use Six Sigma principles for quality control normally follow a five-phase improvement process called _____.

Group of answer choices

weighted scoring model

DMAIC

use case modeling

configuration management

Answers

Projects that use Six Sigma principles for quality control normally follow a five-phase improvement process called DMAIC. The DMAIC approach is the cornerstone of Six Sigma methodology, and it is a five-phase structured problem-solving method.

This method is used to improve the business process by identifying and removing the causes of errors, and it consists of the following phases: Define, Measure, Analyze, Improve, and Control. The five phases of the DMAIC method are described below:

1. Define: This is the phase in which the problem is identified, and the project's goals and objectives are established. It is also critical to identify the project's scope and the customer's requirements.2. Measure: In this phase, the process's current state is measured to determine the root cause of the problem.

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In the event of a bankruptcy, common shareholders have a claim on assets before debtholders. True False

Answers

The given statement "In the event of a bankruptcy, common shareholders have a claim on assets before debtholders." is False.

In case of bankruptcy, debtholders, who are also creditors, have the first right on the company's assets. This is because they have a legal agreement with the organization that guarantees their repayment. It means, the debtholders have a prior claim to the company's assets over shareholders. The remaining assets (if any) will be given to the common shareholders for distribution.

In a bankruptcy situation, common shareholders are at the bottom of the hierarchy when it comes to getting paid. They have the last right to the company's assets after every other creditor and debtholder are repaid.

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FIN200 CORPORATE FINANCIAL
MANAGEMENT
Why CAPM equation might be more relevant than other equations
when calculating the required rate of return.

Answers

The CAPM equation, or Capital Asset Pricing Model equation, is often considered more relevant than other equations when calculating the required rate of return. It takes into account the risk and return relationship of an investment and provides a systematic approach to estimating the expected return.

The CAPM equation, developed by William Sharpe, is widely used in finance for determining the required rate of return on an investment. It is considered more relevant than other equations for several reasons.

Firstly, the CAPM equation incorporates the concept of systematic risk, which is the risk associated with the overall market. It considers the relationship between the expected return of an investment and its sensitivity to market movements, as measured by beta. By including systematic risk, the CAPM equation captures the risk that cannot be diversified away and reflects the market's perception of the investment's riskiness.

Secondly, the CAPM equation provides a systematic framework for estimating the required rate of return. It takes into account the risk-free rate of return, the market risk premium, and the beta of the investment. This equation allows for a consistent and standardized approach to evaluating the return expectations of different investments.

Furthermore, the CAPM equation has been widely accepted and used in both academic and professional settings. Its popularity is due to its simplicity and intuitive appeal. While other equations may exist for estimating required rates of return, they often lack the same level of acceptance and empirical support as the CAPM equation.

Overall, the CAPM equation's consideration of systematic risk, its systematic framework for estimating required rates of return, and its widespread acceptance make it a more relevant tool than other equations when calculating the required rate of return. However, it is important to note that the CAPM has its limitations and assumptions, and alternative models and approaches should also be considered depending on the specific context and characteristics of the investment being analyzed.

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the following annual costs are associated with three new extruder machines being considered for use in a styrofoam cup plant:

Answers

The annual costs associated with the three new extruder machines being considered for use in a styrofoam cup plant need to be provided in order to give a clear and concise answer.


To determine the costs associated with the three extruder machines, we would need to know the specific costs involved. This could include the purchase price of each machine, the cost of installation, any maintenance or repair costs, and any additional operating expenses. Once we have these costs, we can calculate the total annual cost for each machine by adding up all the expenses. This will give us a clear understanding of the financial implications of each machine.



Additionally, it's important to consider the expected lifespan of the machines and their potential productivity. A more expensive machine may have a longer lifespan and higher productivity, resulting in lower costs in the long run.Ultimately, the decision on which extruder machine to choose will depend on the specific costs associated with each machine and the long-term benefits they provide.

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Environmental Analysis (Cause and Effect
Analysis)
You just need to fill out the attached HW 8
form for the HW 8.
Step 1: Select any company or winery you
wish. Prepare a one-paragraph description of
the company or winery including things like
location, size, age, product/customer mix, etc.
Step 2: Identify and describe three
technological trends (they could be positive or
negative) that will affect this organization in the
future. A trend is any emerging activity that you
believe is important to the future of this
business. Trends can fall into any of the various
categories in technology such as Al (Artificial
Intelligence, 5G technology, Self Driving car...).
Do some research. I have posted some
interesting articles related to the impacts of
new technology in marketing and brand
management.
Step 3: Provide a detailed rationale for why
you select these three trends. Then indicate
what you consider to be the probability of each
trend occurring using a range from 0-100%.
Also rate the trend on importance using a scale
of 1-10 with 10 being the most important.

Answers

5G technology: Probability: 90%, Importance: 8Smart Wine bottles: Probability: 70%, Importance: 6AI: Probability: 80%, Importance: 9

Environmental Analysis (Cause and Effect Analysis)

About the company

Winery Business is one of the rapidly growing industries in the world. Constellation Brands is one of the major players in the wine and beer industry. It is headquartered in New York, USA.

The company is known for selling and producing alcohol-based drinks such as Corona, Modelo, Robert Mondavi, Ruffino, Meiomi, etc.

It is the world’s largest wine producer and marketer with operations in around 100 countries. It operates as two segments; wine and spirits, and beer.

Technological Trends

The following are three technological trends that will affect the organization in the future.

5G Technology: The fifth-generation mobile network (5G) has become a crucial factor for organizations globally. 5G will provide Constellation Brands with faster speeds, more reliable connections, and reduced latency. It can also enable better communication in their production process.

Smart Wine bottles:

The IoT-based Smart Wine bottle is a new trend in the wine and beverage industry. It is a new technology that Constellation Brands can use to enhance their customers’ experience.

These smart bottles have features such as temperature sensors, GPS, and light sensors.

AI: Constellation Brands can implement AI-powered chatbots that can be used in customer service. This technology has transformed the customer service sector and the food and beverage industry.

AI chatbots will enable the company to respond quickly to customers, reduce customer response time, and enhance their satisfaction.

Probability and Importance

5G technology: Probability: 90%, Importance: 8Smart Wine bottles: Probability: 70%, Importance: 6AI: Probability: 80%, Importance: 9

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canadian adventures has earnings per share of $2.86 and dividends per share of $1.80. the total equity of the firm is $750,000. there are 38,000 shares of stock outstanding. what is the sustainable rate of growth? group of answer choices

Answers

If canadian adventures has earnings per share of $2.86 and dividends per share of $1.80. The sustainable rate of growth for Canadian Adventures is 5.37%.

What is the Sustainable Rate of Growth?

First we need to calculate the retention ratio

Retention Ratio = (EPS - DPS) / EPS

Retention Ratio = ($2.86 - $1.80) / $2.86

Retention Ratio = $1.06 / $2.86

Retention Ratio ≈ 0.370

Next we need to calculate the return on equity (ROE)

ROE = Net Income / Total Equity

ROE = (EPS * Number of shares outstanding) / Total Equity

ROE = ($2.86 * 38,000) / $750,000

ROE ≈ 0.145

Now we can calculate the sustainable rate of growth

Sustainable Rate of Growth = Retention Ratio * Return on Equity

Sustainable Rate of Growth = 0.370 * 0.145

Sustainable Rate of Growth ≈ 0.0537

Sustainable Rate of Growth ≈ 5.37%

Therefore, the sustainable rate of growth for Canadian Adventures is 5.37%.

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Anastasia should use a classification model to predict the
starting salary of a university graduate.
True or False

Answers

Anastasia should use a classification model to predict the starting salary of a university graduate. This statement is False. In machine learning, classification is the process of categorizing input data into specific categories or classes.

It is used to classify input data based on some specific criteria. Therefore, classification models are used for classifying inputs or predicting the class of the input. However, classification models cannot be used for predicting the starting salary of a university graduate since salaries are not categorical values. Salary values are continuous values and therefore, regression models are more appropriate for predicting the starting salary of a university graduate.

In contrast to classification models, regression models predict numerical values. Regression models can be used to predict the expected salaries of graduates based on features such as their educational qualifications, work experience, grades, and other factors.

Moreover, regression models have the ability to provide more accurate predictions of numerical values than classification models because they are specifically designed to handle numerical values and relationships between variables.

In conclusion, it is false that Anastasia should use a classification model to predict the starting salary of a university graduate. Instead, she should use a regression model.

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An organisation is now interested in conducting Privacy Impact Assessments for its various projects. The organisation is aware of Office of the Australian Information Commissioner's "Guide to undertaking privacy impact assessments" but realises it needs to set up its own specific guidelines that are shorter than this. Also, it realises it needs to have its own template for reports it will fill in when conducting the assessments.

Answers

In the event that an organization is interested in conducting Privacy Impact Assessments (PIAs) for its different projects, they should be aware of the Office of the Australian Information Commissioner's Guide to undertaking privacy impact assessments.

However, they should establish their own specific guidelines that are shorter than the guide. Furthermore, they should have their template for reports that will be used while conducting the assessments.

Privacy Impact Assessments (PIAs) are used by organizations to assess how proposed projects, products, or systems might impact on the privacy of individuals. Conducting a PIA will help organizations to identify and mitigate privacy risks, protect their reputation, and meet legal obligations.

A PIA is an evaluation process, not just a form-filling exercise. The PIA process identifies privacy risks and suggests mitigation strategies, which then need to be applied. The PIA process will help in ensuring compliance with the Privacy Act 1988, and in the development of privacy-aware business practices, policies, and procedures.

A PIA can be undertaken for a range of projects or initiatives, such as:

New technologies or systems that process personal information;

Changes to the way personal information is collected, used, disclosed, or stored;

Changes to business practices or procedures; and

Changes to laws or regulations.

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Other Questions
Let Y have the lognormal distribution with mean 71.2 and variance 158.40. Compute the following probabilities. (You may find it useful to reference the z table. Round your intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) Match the descriptions with the words.talking a bill to deathformal charges brought against a public official for high crimes and misdemeanorsamendment attached to a bill likely to pass that does not necessarily relate to the billanything that the government backs as moneyensures that one branch is not more powerful than another The normal curve is a very important concept in statistics. You can use your knowledge of the normal curve to make descriptions of empirical data distributions, and it is essential to your ability to make inferences about a larger population based on a random sample collected from that population.Which of the following are true about the normal curve? Check all that apply. (Please note it will possibly be more than one answer)A. The normal curve touches the horizontal axis.B. The normal curve is unimodal.C. The normal curve never touches the horizontal axis.D. The normal curve is S-shaped.A key feature of the normal curve is that distances along the horizontal axis, when measured in standard deviations from the mean, always encompass the same proportion of the total area under the curve.This means, for example, thatA. 95.44%B. 50.00%C. 99.72 %D. 68.26%(Pick one of the following above) of the scores will lie between three standard deviations below the mean and three standard deviations above the mean. You are going to write a DoughnutTower game for a toddler! The aim of the game is to stack 5 doughnuts of the same colour (red/blue/green). The purpose of this DoughnutTower game assignment is to: - Use the provided MyArrayList class and add a method. - Write a StackAsMyArrayclass with the typical methods and two additional methods. - Write an implementation (test) class for the game. In order to check if a toddler has stacked the 5 doughnuts successfully, one needs to check if all the doughnuts in the tower are the same colour. - Find attached the MyArrayList class. Make the following addition in the MyArrayList class (Please use the given naming conventions): A generic version of this method: - public boolean checkUniform() The method should return true if all the doughnuts are identical. - Make sure you have an accessor for the instance variable called: public int getSize() - Write the StackAsMyArrayList class with: - Push(), Pop(), toString() - We are going to add 2 non-typical stack methods (just to make this game work) - public int getStackSize() which calls the getSize() method of the MyArrayList class - public boolean checkStackUniform() which calls the checkUniform() method of the MyArrayList class HINT: The toString() of the stack class calls the toString() of the MyArrayList class - Write an implementation (test) class for the game. Size: The tower is not full The the accompanying output as a guideline. Size:5 Correct? false The tower: [r,r,r] Size:3 The tower is not full The tower: [r,r,r,r,r] Size:5 Correct? true Ethical behavior is essential to the conduct of business activity Consider each of the following business behaviors:Required:Identify each behavior as ethical or unethicala. A manager prepares financial statements that grossly overstate the performance of the businessb. A CPA resigns from an audit engagement rather than allow a business client to violate an accounting standard.An internal auditor decides against confronting an employee of the business with minor violations of business policy. The employee is a former college classmate of theauditord. An accountant advises his client on ways to legally minimize tax payments to the government.6. A manager legally reduces the price of a product to secure a larger share of the market.f. Managers of several large companies secretly meet to plan price reductions designed to drive up-and-coming competitors out of the market.g. An accountant keeps confidential details of the employer's legal operations that would be of interest to the public.h. A recently dismissed accountant tells comperors details about her former employer's operations as she seeks a new job what are the associated abnormalities accompanying this radial fracture? select three ways a two-party system reflects a democratic society. consider a hypothetical economy composed of 80 employed workers and 20 owners. the workers collectively receive 30% of total income, and the owners collectively receive 70% of total income. for simplicity, we will assume that all 80 workers are identical and that all 20 owners are identical, so that every worker earns $30,000 in wages and every owner receives $280,000 in profits. what is the gini coefficient for this hypothetical economy? For each of the following cases determine the ending balance in the inventory account. (Hint: First, determine the total cost of inventory available for sale. Next, subtract the cost of the inventory sold to arrive at the ending balance.)Jills Dress Shop had a beginning balance in its inventory account of $44,500. During the accounting period, Jills purchased $88,500 of inventory, returned $5,900 of inventory, and obtained $840 of purchases discounts. Jills incurred $1,180 of transportation-in cost and $690 of transportation-out cost. Salaries of sales personnel amounted to $35,500. Administrative expenses amounted to $40,100. Cost of goods sold amounted to $91,300.Kens Bait Shop had a beginning balance in its inventory account of $9,800. During the accounting period, Kens purchased $44,100 of inventory, obtained $1,380 of purchases allowances, and received $450 of purchases discounts. Sales discounts amounted to $730. Kens incurred $1,080 of transportation-in cost and $350 of transportation-out cost. Selling and administrative cost amounted to $13,200. Cost of goods sold amounted to $35,700. A videoke machine can be rented for Php 1,000 for three days, but for the fourth day onwards, an additional cost of Php 400 per day is added. Represent the cost of renting videoke machine as a piecewi each of the following are likely to be found on a trade confirmation except Young people are critical to the success of a political campaign because they __________. a. can only work during spring break b. bring little excitement and passion c. have time and energy to give to the campaign d. must gain experience after they graduate from college Sales at Glover's Golf Emporium have been increasing linearly. In their second business year, sales were $160,000. This year was their seventh business year, and sales were $335,000. If sales continue to increase at this rate, predict the sales in their eleventh business year. uppose that consumers will purchase q units of a product when the price of each unit is 180.4q dollars. (a) What is the total revenue from selling q units? (b) How many units must be sold for the sales revenue to be at least $200 ? (Hint: your answer should be a range of values). (True or False) If you perform a test and get a p-value = 0.051 you should reject the null hypothesis.TrueFalse You are researching commuter traffic patterns following the closure of a bridge in the center of town. Which of the following is the best qualitative source for your research?A feature news article describing the closure's effect on commuters. The textbook has suggested a list of six best practices for online discussions on all platforms, including sticking to the topic, searching before posting, using good grammar and capitalization, no feeding the trolls, do not post repetitively (or double-post), and no sock puppets. Based on your use experience with online discussions, do you think the list is complete? Is there anything else that you would like to add to the list? The workers' union at a certain university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview a sample of 20 workers, chosen at random, to get their opinions on the strike.Answer the following.(If necessary, consult a list of formulas.)(a) Estimate the number of workers in the sample who are union members by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. For the next fiscal year, you forecast net income of $49,600 and ending assets of $505,800. Your firm's payout ratio is 10.2%. Your beginning stockholders' equity is $297,500, and your beginning total liabilities are $126,800. Your non-debt liabilities such as accounts payable are forecasted to increase by $10,200. Assume your beginning debt is $106,800. What amount of equity and what amount of debt would you need to issue to cover the net new financing in order to keep your debt-equity ratio constant? The amount of debt to issue will be $ (Round to the nearest dollar.) The amount of equity to issue will be $ (Round to the nearest dollar.) A street vendor has a total of 350 short and long sleeve T-shirts. If she sells the short sleeve shirts for $12 each and the long sleeve shirts for $16 each, how many of each did she sell if she sold