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wel
3 years ago
13

You borrow $8000 to buy a car, at an annual interest rate of 6%. Assume interest is compounded continuously. You make monthly pa

yments (approximate as continuous payments).
How much should you pay each month to pay off the loan in 3 years?
Business
1 answer:
hram777 [196]3 years ago
8 0

Answer:

We should pay $243.3 each month to pay of the loan.

Explanation

The present value of the loan is 8,000, the number of compounding periods are (3*12) =36 because payment is going to be made monthly for 3 years, the future value of the loan is 0 as there will be no lump sum payment at the end of the loan and equal payments each month, the monthly interest rate is 6%/12= 0.5%. We input these 4 values to find the monthly payment.

PV= 8,000

FV=0

N=36

I=0.5

Compute PMT= 243.3

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A tenant rented an apartment, signing a 15-month lease. After the lease expired, the tenant paid 1 month's rent and got a receip
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6 0
1 year ago
Barbara owns a manufacturing plant with four facilities (North, South, East, and West) in the state of Indiana. The workers at o
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7 0
3 years ago
Northwood Company manufactures basketballs. The company has a ball that sells for S25. At present, the ball is manufactured in a
Maksim231197 [3]

Answer:

1A. Compute the CM ratio and the break-even point in balls.

  • CM ratio = 2.5
  • break even point = 21,000 balls

1B. Compute the degree of operating leverage at last year.

  • 31.82%

2. Due to an increase in labor rates, the company estimates that variable expenses will increase by $3 per ball next year. If this change takes place and the selling price per ball remains constant at $25, what will be the new CM ratio and break-even point in balls?

  • CM ratio = 3.57
  • break even point = 30,000 balls

3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $90,000, last year?

  • 42,858 balls

4. The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year, what selling price per ball must it charge next year to cover the increased labor costs?

  • new price of $28 per ball

5. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by 40%, but it would cause fixed expenses per year to double. If the new plant is built, what would be the company's new CM ratio and new break-even point in balls?

  • CM = 1.32
  • 26,250 balls

6.a. If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $90,000, as last year?

  • 31,875 balls

6.b. Assume the new plant is built and that next year the company manufactures and sells 30,000 balls (the same number as sold last year). Prepare a contribution format income statement and compute the degree of operating leverage.

Income Statement

Total revenue $750,000

Variable expenses <u>($270,000) </u>

Contribution margin $480,000

Fixed expenses <u>($420,000 )</u>

Net operating income $60,000

Degree of operating leverage = 60.87%

6.c. If you were a member of top management, would you have been in favor of constructing the new plant?

  • If you cannot avoid paying the salary raise, then the company needs to carry on the new plant project.

Explanation:

sales price per ball = $25

variable expenses: $15 per unit

  • direct labor $9
  • other variable costs $6

CM ratio = net sales / CM = $750,000 / $300,000 = 2.5

break even point = total fixed costs / CM per unit = $210,000 / $10 = 21,000 balls

degree of operating leverage = fixed costs / total costs = $210,000 / $660,000 = 31.82%

new CM ratio = net sales / CM = $750,000 / $210,000 = 3.57

break even point = total fixed costs / CM per unit = $210,000 / $7 = 30,000 balls

sales level for $90,000 profit = ($210,000 + $90,000) / $7 = 42,857.14 ≈ 42,858 balls

CM ratio (new plant) = net sales / CM = $750,000 / $570,000 = 1.32

break even point = total fixed costs / CM per unit = $420,000 / $16 = 26,250 balls

sales level for $90,000 profit = ($420,000 + $90,000) / $16 = 31,875 balls

8 0
3 years ago
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