A firm plans to make a change that will increase sales from 90,000 units to 98,000 knapsacks and increase its average collection period from 30 days to 45 days. The price per knapsack is $34 and the variable cost per knapsack is $21. The required return on similar-risk investments is 13%.
1.What is the additional profit contribution from sales if the change is made?
2.What is the cost of the marginal investment in accounts receivable for this change?
3.What is the net profit from this change?
4.Should the firm make the change? Explain.
Additional profit contribution =( proposed sale units - current sale units) * (price per unit - variable cost) = (98000-90000)*(34-21) = 8000*13 = 104000
Average investment in accounts receivable = Total variable cost of annual sales/ Turnover of accounts receivable = Number of sales units * variable cost per unit/365/Average collection period
Under present plan, average investment = 90000*21/365/30 = 155342.466
Under proposed plan, average investment = 98000*21/365/45 = 253726.027
Marginal investment = 253726.027 - 155342.466 = 98383.561
Cost of marginal investment = 98383.561*13% = 12789.8629
The additional profit contribution of 104000 exceeds the cost of marginal investment by 104000-12789.8629 = 91210.1371. The firm should make the change as the benefit outweighs the costs.
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