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On each nondelinquent sale Cast Iron receives revenues with a present value of $

ID: 2773825 • Letter: O

Question

On each nondelinquent sale Cast Iron receives revenues with a present value of $1,400 and incurs costs with a present value of $1,250. Assume there is no possibility of repeat orders and that the probability of successful collection from the customer is p = .85.

What is the expected profit of granting credit? (A negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

On each nondelinquent sale Cast Iron receives revenues with a present value of $1,400 and incurs costs with a present value of $1,250. Assume there is no possibility of repeat orders and that the probability of successful collection from the customer is p = .85.

Explanation / Answer

(a1) Assume there are 100 customer

Expected Revenue from customers (since only 85% will pay) is 1400 * 100 *0.85 = $119,000

Cost of production of Cast Iron = $125,000

Therefore Profit = 119,000 -125,000 = - $6,000

Therefore, there is a loss of $6,000 for 100 customers and

A loss of $60 per customer

(a2) Cast Iron should REFUSE Credit because there will be a loss

b. Calculating Break even probabilty

Consider x as the breakeven probability

1400 (x) =1250;

x= 1250/1400 = 0.89285

Thefore breakeven probability is 0.9 (rounded to one decimal place)

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