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alisha [4.7K]
3 years ago
9

Maurice has the following utility function: U (X Y) =20X+80Y-X^2-2Y^2, where X is his consumption of CDs with a price of ​$11 an

d Y is his consumption of movie​ videos, with a rental price of ​$2. He plans to spend ​$50 on both forms of entertainment. Determine the number of CDs and video rentals that will maximize​ Maurice's utility.
Business
1 answer:
Schach [20]3 years ago
8 0

Answer:

1 CD and 19 movie videos

Explanation:

This is a quadratic programming problem. Given the utility function, product price and budget constraint. the following relation between X and Y is:

Y =\frac{50-11X}{2}

When that is inserted in the utility function, the function is:

U(X) = -X^{2} -420X+200-\frac{121X^{2}-1100X+2500 }{2}

In order to find the maximization parameter X, the first derivative of the function is needed (leveled with zero), and it is:

-123X + 130 = 0

The value for X is 1,06 which can be rounded to 1. From the first relation, we see that Y is 19.

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Janice is the sole owner of Catbird Company. In the current year, Catbird had operating income of $100,000, a long-term capital
Ahat [919]

Answer / Explanation:

To answer this question considering the tax entity and how Janice will report this information on her individual tax return, We need to consider the fact that different tax entity are categorized by its unique report and information.

So to properly answer these question, we will have to assume three (3) different scenario which are: (1) Is it a Limited Liability Company, Is it a Small business corporation, Is it an AC Corporation.

We should also note that this segregation is need as each type of corporation tax are dealt with differently thus enabling us treat the question properly in respect to tax entity and as regards to how Janice will report the information on her individual tax return.

Consequentially,

a. If Catbird Company is an LLC: A single-member LLC is taxed as a proprietorship. Thus, Janice will report the $100,000 operating income (Schedule C), $15,000 long-term capital gain (Schedule D), and if she itemizes, $5,000 charitable contribution (Schedule A) on her tax return. The $70,000 withdrawal would have no effect on Janice's individual tax return.

b. If Catbird Company is an S corporation: An S corporation is a tax reporting entity (Form 1120S), and its income, gains, deductions, and losses are passed through to and reported by the shareholders on their tax returns. Separately stated items (e.g., long-term capital gain and charitable contribution) retain their character at the shareholder level. Consequently, Janice will report the $100,000 operating income (Schedule E), $15,000 long-term capital gain (Schedule D), and if she itemizes, $5,000 charitable contribution (Schedule A) on her tax return. The $70,000 withdrawal would have no effect on Janice's individual tax return.

c. If Catbird Company is a C corporation: A C corporation is a separate taxable entity, and its taxable income has no effect on the shareholders until such time a dividend is paid. When dividends are paid, shareholders must report dividend income on their tax returns. Thus, Catbird Company will report taxable income of $110,000 ($100,000 operating income + $15,000 LTCG - $5,000 charitable contribution) on its Form 1120. Corporations receive no preferential tax rate on long-term capital gains. Janice will report dividend income of $70,000 (Schedule B) on her individual tax return.

8 0
3 years ago
A review of the accounting records of Baird Manufacturing indicated that the company incurred the following payroll costs during
ankoles [38]

Answer:

a. $363,000

b. $827,200

Explanation:

The computations are shown below:

a. Payroll cost would be

=  Salary of the company president + Salary of the chief financial officer + Salary of the vice president of marketing +  Salaries of administrative secretaries + Commissions paid to sales staff

= $75,000 + $42,000 + $40,000 + $60,000 + $146,000

= $363,000

And, for computing payroll cost first we have to determine the total cost which is shown below:

= Salary of the vice president of manufacturing + Salaries of middle managers (department heads, production supervisors) in manufacturing plant + Wages of production workers + Salaries of engineers and other personnel responsible for maintaining production equipment

= $50,000 + $147,000 + $703,500 + $133,500

= $1,034,000

Now the cost of goods sold would be

= Total cost × sales units ÷ number of units produced

= $1,034,000 × 4,000 units ÷ 5,000

units

= $827,200

3 0
2 years ago
Proponents of rational expectations argued that the sacrifice ratio:______.a. could be high because people might adjust their ex
Arte-miy333 [17]

Answer:

b. could be low because people might adjust their expectations quickly if they found anti-inflation policy credible

Explanation:

In the given situation, it is mentioned that the rational expectations proponets said that the sacrified ratio would be lesser as the people wants to adjust their expectations in a fastest way in the case when they found that the anti-inflation policy is credible

Therefore as per the given situation, the option b is correct

3 0
3 years ago
You want the salespeople on your staff to perform at their best, thus you want to make sure they are properly supervised. In det
lbvjy [14]

Answer:

Factors to consider:

1. Specialisation role

2. Complexity of sales process

3.Tenure

4.Geographical coverage

5. Sales Representative leadership

6. Support network

7. Internal Bureaucracy

8. Value add of managers

Factors not to consider;

1. Market share

2. Production process

3. Distribution process

4. Personal affiliation, race or religion

Explanation:

When considering a company's span of control, which simply means the number of junior staff a manager should manage, it is important to note factors relating to geographical coverage, a wide coverage can create difficulties in supervision to a manager. Consequently reducing the span of control.

Specialisation also help in ensuring the manager is an expert in the area he or she supervise. Experienced manager with good understanding of the tasks, good knowledge of the workers and good relationships with the workers, will be able to supervise more workers

The complexity of a sale process can affect a manager's supervision performance. if the sale process for example require an online payment to a final user who may not be physically available. Supervising such sales requires adequate training.

Other factors like; Tenure, Sales Representative leadership, Support network, Internal Bureaucracy, Value add of managers are paramount in determining span of control. However, market share, production process, distribution process and personal affiliation, race and religion should not affect the span of control.

3 0
2 years ago
Read 2 more answers
BatCo makes metal baseball bats. Each bat requires 1 kg of aluminum at $18 per kg and 0.25 direct labor hours at $20 per hour. O
aalyn [17]

Answer:

Cost variance= 7 unfavorable

Explanation:

Giving the following information:

Each bat requires 1 kg of aluminum at $18 per kg and 0.25 direct labor hours at $20 per hour. Overhead is assigned at the rate of $40 per direct labor hour. Assume the actual cost to manufacture one metal bat was $40.

Estimated cost= 18 + 0.25*20 + 0.25*40= 33

Actual cost= 40

Cost variance= 7 unfavorable

5 0
3 years ago
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