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FinnZ [79.3K]
3 years ago
7

A car rental agency rents 200 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewe

r cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income? R
Business
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer and Explanation:

Given:

Total car = 200

Rate = $29

Computation:

Total increase in rate = a

So , Total decrees in car = 5a

Total income (y) = [200-5a][29+a]

y = 5,800 + 200a - 145a - 5a²

y = 5,800 + 55a - 5a²

y' = dy / da [5,800 + 55a - 5a²]

y' = -10a + 55

in which , y' = 0

0 = -10a + 55

a = 5.5

So , Maximum rate = $ [29+5.5]

Maximum rate = $34.5

maximum income = 5,800 + 55(5.5)- 5(5.5)²

maximum income = 5,800 + 302.5 - 151.25

maximum income = $5951.25

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Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of
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Answer:

Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of debt of 8.2%, and its cost of preferred stock is 9.3%. If Turnbull can raise all of its equity capital from retained earnings, its cost of common equity will be 12.4%. However, if it is necessary to raise new common equity, it will carry a cost of 14.2%. If its current tax rate is 40%, how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings? (Note: Round your intermediate calculations to two decimal places.)

The explanation to the answer is now given as follows:

Step 1: Calculation of WACC when all of its equity capital is raised from retained earnings

This can be calculated using WACC formula as follows:

WACCR = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (1)

Where;

WACCR = Weighted average cost of capital when all of its equity capital is raised from retained earnings = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 12.4%, or 0.124

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

Substituting the values into equation (1), we have:

WACCR = (0.36 * 0.124) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCR = 0.078756, or 7.8756%

Rounding to 2 decimal places, we have:

WACCR = 7.88%

Step 2: Calculation of WACC if it raises new common equity

This can also be calculated using WACC formula as follows:

WACCE = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (2)

Where;

WACCE = Weighted average cost of capital if it raises new common equity = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 14.2%, or 0.142 (Note: This is the only thing that has changed compared to what we have in Step 1 above.)

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

Substituting the values into equation (2), we have:

WACCE = (0.36 * 0.142) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCE = 0.085236, or 8.5236%

Rounding to 2 decimal places, we have:

WACCE = 8.52%

Step 3: Caculation of how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

This can be calculated as follows:

Percentage by which WACC is higher = WACCE - WACCR

Percentage by which WACC is higher = 8.52% - 7.88%

Percentage by which WACC is higher = 0.64%

Therefore, Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

5 0
2 years ago
Entertainment Tonight, Inc. manufactures and sells stereo systems that include an assurance-type warranty for the first 90 days.
Solnce55 [7]

The estimated cost of the assurance-warranty is $350. The accounting for warranty will include a credit to Unearned Warranty Revenue, $900

Explanation:

  • Entertainment Tonight, Inc. manufactures and sells stereo systems that include an assurance-type warranty for the first 90 days. Entertainment Tonight also offers an optional extended coverage plan under which it will repair or replace any defective part for 2 years beyond the expiration of the assurance-type warranty. The total transaction price for the sale of the stereo system and the extended warranty is $3,000. The standalone price of each is $2,300 and $900, respectively. The estimated cost of the assurance-warranty is $350. The accounting for warranty will include a credit to Unearned Warranty Revenue, $900.
  • Unearned extended warranty revenue is given to be as an unearned revenues in accrued liabilities in the balance sheets.
  • Revenue which comes from separately priced, self-insured service contracts is reffered at the point of sale.
  • Unearned revenue is a money which is received from a customer for work that has not been performed still.

7 0
3 years ago
The salient or important attributes about a particular product that a consumer bases his or her product evaluation on are called
solmaris [256]

Answer:Evaluative criteria

Explanation:

7 0
3 years ago
By the way do you know how to change your name on here, because my name is Bucky?
Ray Of Light [21]

Answer:

You cant change your name unless you message the mods and say it has personal information or give them a reason y you want to change it. Same i wish I changed mine. lol

Explanation:

3 0
3 years ago
If an investor purchases $1,000 face amount of an 8% corporate bond at 93. The bond is scheduled to mature in 2028. What will ha
sdas [7]

Answer:

The amount to be paid is $100,440

Explanation:

When the bond matures, it is the due date on which the bond issuer need to pay off the bond on that particular date.

In this case, the bond matures in 2028, so

Interest amount = Face value of bond × Price × Interest

= $1,000 × 93 × 8%

= $7,440

The amount to be paid on maturity will be:

= $7,440 + $93,000

= $100,440

7 0
3 years ago
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