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A firm can borrow capital to invest and faces a marginal revenue (MR) for each u

ID: 2820864 • Letter: A

Question

A firm can borrow capital to invest and faces a marginal revenue (MR) for each unit of capital (K) invested is as follows: 1st K has MR $2.50; 2nd K has MR $2.0; 3rd K has MR $1.60; 4th K has MR $1.45; 5th K has MR $1.38; and 6th K has MR $1.34. If the interest rate is 39%, then the firm's optimal demand for capital is

5

6

A company can take out a $150,000 loan and make a repayment of $156,750 in one year, or it can issue discount bonds that have a yield of 4.5%. In this case, to raise funds as cheaply as possible, the company should

3

Explanation / Answer

1.

d). 6

Unit of capital

Marginal revenue (MR)

Total revenue (TR)

Total cost (TC)

Profit

1

2.50

2.50 (2.50 + 0.00)

0.725 (2.50 * 29 %)

1.775

2

2.00

4.50 (2.50 + 2.00)

1.305 (4.50 * 29 %)

3.195

3

1.60

6.10 (4.50 + 1.60)

1.769 (6.10 * 29 %)

4.331

4

1.45

7.55 (6.10 + 1.45)

2.190 (7.55 * 29 %)

5.360

5

1.38

8.93 (7.55 + 1.38)

2.590 (8.93 * 29 %)

6.340

6

1.34

10.27 (8.93 + 1.34)

2.978 (10.27 * 29 %)

7.292

(Profit = Total revenue - Total cost).

Profit at the level of 6th unit of capital amounting to $ 7.292 is the highest.

2.

Interest rate on loan = (156750-150000)/150000=

4.5%

Interest rate on bonds

4.5%

Therefore to raise funds company can do either because the rate is same.

Option 3 is correct

Unit of capital

Marginal revenue (MR)

Total revenue (TR)

Total cost (TC)

Profit

1

2.50

2.50 (2.50 + 0.00)

0.725 (2.50 * 29 %)

1.775

2

2.00

4.50 (2.50 + 2.00)

1.305 (4.50 * 29 %)

3.195

3

1.60

6.10 (4.50 + 1.60)

1.769 (6.10 * 29 %)

4.331

4

1.45

7.55 (6.10 + 1.45)

2.190 (7.55 * 29 %)

5.360

5

1.38

8.93 (7.55 + 1.38)

2.590 (8.93 * 29 %)

6.340

6

1.34

10.27 (8.93 + 1.34)

2.978 (10.27 * 29 %)

7.292

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