ACC 310F Chapter Notes - Chapter 2: Regression Analysis, Cost Accounting, Fixed Cost
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Case 9-6: Profit PlanningâChoice of CostStructure
The owner of a package delivery business is currently evaluatingthe choice between two different cost structures, based on how thedelivery personnel are paid. One option (hereafter, âAlternative#1â) has relatively higher short-term fixed costs, while the otheroption (hereafter, âAlternative #2â) has the reverseâthat is,relatively higher variable costs in its cost structure. (Forsimplicity in this example we hold the delivery cost per package,that is, the selling price per unit is constant. Selling price isindependent of the cost-structure choice.) The following tablecontains pertinent information for creating the CVP model for eachdecision alternative:
Decision Inputs (Data) | Cost Structure Alternative #1 | Cost Structure Alternative #2 |
Delivery price (i.e., revenue) per package | $60 | $60 |
Variable cost per package delivered | $48 | $30 |
Contribution margin per unit | $12 | $30 |
Fixed costs (per year) | $600,000 | $3,000,000 |
Requirements
1. Assume that for the comingyear total fixed costs are expected to increase by 10% for each ofthe two alternatives. What is the new break-even point, in terms ofnumber of deliveries, for each decision alternative? By whatpercentage did the break-even point change for each case? How dothese figures compare to the percentage increase in budgeted fixedcosts?
2. Assume an average income-tax rate of 40%. What volume (numberof deliveries) would be needed to generate an after-taxprofit, ÏA, of 5% of sales for each alternative?
Decision Inputs (Data) | Cost Structure Alternative #1 | Cost Structure Alternative #2 |
Delivery price (i.e., revenue) per package | $60 | $60 |
Variable cost per package delivered | $48 | $30 |
Contribution margin per unit | $12 | $30 |
Fixed costs (per year) | $600,000 | $3,000,000 |
(1) Assume that forthe coming year total fixed costs are expected to increase by 10%for each of the two alternatives. What is the new break-even point,in terms of number of deliveries, for each decision alternative? Bywhat percentage did the break-even point change for each case? Howdo these figures compare to the percentage increase in budgetedfixed costs?
(2) Assume an averageincome-tax rate of 40%. What volume (number of deliveries) would beneeded to generate an after-tax profit, ?A, of 5%of sales for each alternative?
(3) Consider the original data in the problem. Construct a graphfor each of the two alternatives depicting pre-tax profit,?B, as function of volume (number of deliveries peryear). Clearly label the profit equation for eachalternative.
(4) Based on the graphs prepared in (9), which decisionalternative do you think is the more profitable one for thisbusiness?
(5) Based on the original data and the graphs prepared above in(10), which decision alternative is more risky to thebusiness? Explain. (Hint: Think about, and define in your answer,the notion of