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I am Lyosha [343]
3 years ago
11

Storytime Park competes with Splash World by providing a variety of rides. Storytime sells tickets at $ 100 per person as a​ one

-day entrance fee. Variable costs are $ 60 per​ person, and fixed costs are $ 254 comma 000 per month. Compute Storytime ​Park's contribution margin ratio. Carry your computation to two decimal places. Use the contribution margin ratio approach to determine the sales revenue Storytime Park needs to break even.
Business
1 answer:
meriva3 years ago
3 0

Answer:

contribution margin ratio= 0.4

Break-even point (dollars)= $635,000

Explanation:

Giving the following information:

Storytime sells tickets at $ 100 per person as a​ one-day entrance fee.

Variable costs are $ 60 per​ person, and fixed costs are $254,000 per month.

To calculate the contribution margin ratio, we need to use the following formula:

contribution margin ratio= contribution margin/selling price

contribution margin ratio= (100 - 60)/100

contribution margin ratio= 0.4

To calculate the sales required to break even, we need to use the following formula:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 254,000/0.4

Break-even point (dollars)= $635,000

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New Monthly Installment =PMT(0.007083,300,289723) =$2,332.93

Monthly savings in installment reduction =$2,632.71 - 2,332.93 =$299.78

a. Net present value of refinancing = -0.05x289,723 + 299.78x{(1-(1+0.007083)-300)/0.007083}

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b. With new monthly installment, balance outstanding at the end of 8th year =$278,258

Net Present Value of Refinance = -0.05x289,723 + 299.78x{(1-(1+0.007083)-36)/0.007083}

                                                  = -14,486.15 + 299.78x31.68

                                                  = -14,486.15 + 9,446.46

                                                  = -4,989.68

c. For refinance loan to have net present value positive, let n payments are required,

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14,486.15x0.00783/299.78 =(1-(1.007083)-n)

0.3423 = 1-(1.007083)-n

(1.007083)-n = 0.6577

(1.007083)n = 1.5204

Taking Log both sides,

n = log(1.5204)/log(1.007083)

n = 59.36

Hence, he would need to make 60 payments for making NPV of refinance as zero.

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Total                                    $12,000    Total               $12,000

Therefore, the amount to be debited to Bad debts and credited to Allowance for Doubtful accounts is $12,000.

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