Delphi Company has developed a new product that will be marketed for the first time during the next fiscal year. Although the Marketing Department estimates that 35,000 units could be sold at $36 per unit, Delphi's management has allocated only enough manufacturing capacity to produce a maximum of 25,000 units of the new product annually. The fixed expenses associated with the new product are budgeted at $450,000 for the year, which includes $60,000 for depreciation on new manufacturing equipment. Data associated with each unit of product are presented below. Delphi is subject to a 40 percent income tax rate.

Variable Costs
Direct material $7.00
Direct labor 3.50
Manufacturing overhead 4.00
Total variable manufacturing cost 14.50
Selling expenses 1.50
Total variable cost $16.00

Delphi Company's management has stipulated that it will not approve the continued manufacture of the new product after the next fiscal year unless the after-tax profit is at least $75,000 the first year. The unit selling price to achieve this target profit must be at least
A. $36.60.
B. $34.60.
C. $39.00.
D. $37.00.

Respuesta :

Answer:

C. $39.00.

Explanation:

The computation of the unit selling price to achieve target profit is shown below

After-tax profit $ 75,000

Divided by Reciprocal of tax rate (100% - 40%) ÷ 60%

Pretax profit 125,000

Fixed cost 450,000

Total cost  575,000

Divided it by Maximum volume ÷ 25,000

Required contribution margin per unit 23

Add: Variable cost per unit 16

Required selling price $ 39

We simply added the contribution margin per unit and the variable cost per unit