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A firm is considering two alternative credit strategies: All Cash Credit Price p

ID: 2788708 • Letter: A

Question

A firm is considering two alternative credit strategies:

All Cash

Credit

Price per unit

$50

$55

Cost per unit

$25

$27

Quantity Sold

6,000

6,700

Payment Probability

100%

92%

If the firm decides to grant credit to customers the Days to Collect will be 60 days. During that time the firm will have to borrow $100,000 on average, at a rate of 1% per month.

a). Should the firm grant credit? (Use calculations to support your answer).

b). The firm is considering using a credit agency to identify customer that will not pay and will drop the quantity sold to 6,500 units. The credit agency will charge an initial $1,500 fee and then $2.00 for every credit check after that. If the agency can identify all customers that will not pay should the firm use the credit agency?

All Cash

Credit

Price per unit

$50

$55

Cost per unit

$25

$27

Quantity Sold

6,000

6,700

Payment Probability

100%

92%

Explanation / Answer

The net profit from All Cash = (50-25)*6000 = 150000

The net profit from credit = (55-27)*6700 - 55*6700*0.08 - 0.01*100000*2

= 156120

Since, the net income from selling on credit is more, it should be preferred.

B) Now, the net income = (55-27-2)*6500 - 0.01*2*100000-1500

= 165500

Since the net income increases, the credit agency should be used.

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