Dome Metals has credit sales of $144,000 yearly with credit terms of net 120 days, which is also the average collection period. Assume the firm adopts new credit terms of 5/10, net 120 and all customers pay on the last day of the discount period. Any reduction in accounts receivable will be used to reduce the firm's bank loan which costs 10 percent. The new credit terms will increase sales by 20% because the 5% discount will make the firm's price competitive. Required:
a. If Dome earns 25 percent on sales before discounts, what will be the net change in income if the new credit terms are adopted?
b. Should the firm offer a discount?

a. The net change in income if the new credit terms are adopted is a net gain of $2,880.

b. Since the discount of 5% will result in a net gain which is $2,880, the firm should offer a discount.

Explanation:

a. If Dome earns 25 percent on sales before discounts, what will be the net change in income if the new credit terms are adopted?

Old sales = $144,000

New Sales = Old sales * (100% + Percentage sales increase) = $144,000 * (100% + 20%) = $172,800

Increase in Sales = New Sales - Old sales = $172,800 - $144,000 = $28,800

Increase in Profit from new sales = Profit Margin * Increase in Sales = 25% * $28,800 = $7,200

Average Accounts Receivable without discount = Average Collection Period * Average daily Sales = 120 * ($144,000 / 360) = $48,000

Average Accounts Receivable with discount = Average Collection Period * Average daily Sales = 10 * ($172,800 / 360) = $4,800

Reduction in Accounts Receivable = Average Accounts Receivable without discount - Average Accounts Receivable with discount = $48,000 - $4,800 = $43,200

Loan balance as a result of reduction in accounts receivable. Therefore, we have:

Interest Saving = Interest Rate * Loan Reduction = 10% * $43,200 = $4,320

Cost of Discount = Discount Rate * New Sales = 5% * $172,800 = $8,640

Net Gain (loss) = Increase in Profit form new sales + Interest Saving - Cost of Discount = $7,200 + $4,320 - $8,640 = $2,880

Therefore, the net change in income if the new credit terms are adopted is an net gain of $2,880.

b. Should the firm offer a discount?

Since the discount of 5% will result in a net gain which is $2,880, the firm should offer a discount.

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