The Harrington Corporation is considering a change in its cash-only policy. The new terms would be net one period. The required return is 2.5 percent per period. Current Policy New Policy Price per unit $ 59 $ 61 Cost per unit $ 33 $ 33 Unit sales per month 2,450 ? What is the break-even quantity for the new credit policy? Break-even quantity
Profit Due to old Policy in one month sales | |||||
Sales Price | 59 | ||||
Cost Per Unit | 33 | ||||
Profit per unit | 26 | ||||
Sales | 2450 | ||||
Total Profit | 63700 | ||||
Let Sales in new policy be x | |||||
Sales Price | 61 | ||||
Cost Per Unit | 33 | ||||
Profit per unit | 28 | ||||
Sales | x | ||||
Total Profit | 28x | ||||
Opportunity Cost | |||||
Cost per unit | 33 | ||||
Sales Unit | x | ||||
Total Cost | 33x | ||||
Interest | 2.50% | ||||
Opportunity Cost | 33x*2.50% | = | 0.825x | ||
There fore For Break even sales | |||||
28x - 0.825x | = | 67300 | |||
27.175x | = | 67300 | |||
Therefore X = | 67300/27.175 | 2476.541 | Units | ||
Break even quantity is 2746.541 means 2747 units
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