Answer:
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.
Step-by-step 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.