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Celestial Products, Inc
Celestial Products, Inc., has decided to introduce a new product, which can be manufactured by either a computer-assisted manufacturing system or a labor-intensive production system. The manufacturing method will not affect the quality of the product. The estimated manufacturing costs by the two methods are as follows:
Computer-Assisted Manufacturing System Labor-Intensive
Production SystemDirect material $8.40 $9.30 Direct labor (DLH denotes direct-labor hours)0.5DLH @ $22.50 11.250.8DLH @ $18.00 14.40 Variable overhead0.5DLH @ $13.50 6.750.8DLH @ $13.50 10.80 Fixed overhead* $4,110,000 $2,430,000
*These costs are directly traceable to the new product line. They would not be incurred if the new product were not produced.
The company's marketing research department has recommended an introductory unit sales price of $63.00. Selling expenses are estimated to be $840,000 annually plus $3.90 for each unit sold. (Ignore income taxes.)
Determine the annual unit sales volume at which the firm would be indifferent between the two manufacturing methods. (Do not round intermediate calculations. Round your final answer to the nearest whole number.)
Expert Solution
Computation of the annual unit sales:-
Computer-Assisted Manufacturing System;
Contribution margin per unit = Selling price - Direct materials- Direct labor - Variable overhead - Variable selling expense
= $63 - $8.40 - $11.25 - $6.75 - $3.90
= $32.70 per unit
Fixed expenses = $4,110,000 + $830,000
= $4,940,000
Labor-Intensive Production System;
Contribution margin per unit = Selling price - Direct materials- Direct labor - Variable overhead - Variable selling expense
= $63 - $9.30 - $14.40 - $10.80 - $3.90
= $24.60 per unit
Fixed expenses = $2,430,000 + $830,000
= $3,260,000
Computer assisted manufacturing system = Labor intensive production system
Contribution margin - Fixed expenses = Contribution margin - Fixed expenses
($32.70 * Sales units) - $4,940,000 = ($24.60 * Sales units) - $3,260,000
($32.70 * Sales units) - ($24.60 * Sales units) = $4,940,000 - $3,260,000
$8.10 * Sales units = $1,680,000
Sales units = $1,680,000 / $8.10
= 207,407.41 Units Or 207,407 Units
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