Question

Filing Company manufactures three types of filing storage units. Each of the three types requires the...

Filing Company manufactures three types of filing storage units. Each of the three types requires the use of a special machine that has a total operating capacity of 15,000 hours per year. Information on the three types of storage units are as follows:

Basic

Standard

Deluxe

Selling price

$9

$30

$35

Variable cost

$6

$20

$10

Machine hours required

0.10

0.50

0.75

Required

  1. Assume that the marketing director has determined that the company can sell as many units as it can produce of any of the three storage types. Determine how many units of each type of unit should be produced and sold to maximize the company’s contribution margin. Show numbers to support your determination. What is the total contribution margin for your selection?
  2. Assume that the marketing director has determined that the company can sell no more than 12,000 units of the deluxe model but up to 50,000 units of the basic and standard model. Determine how many units of each type of unit should be produced and sold to maximize the company’s contribution margin. Show numbers to support your determination. What is the total contribution margin for your selection?
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Answer #1

1.

Basic Standard Deluxe
Selling price $                 9 $              30 $               35
Variable Cost $                 6 $              20 $               10
Contribution Margin per unit $                 3 $              10 $               25
Machine hours required 0.1 0.5 0.75
Contribution Margin per machine hour $              30 $              20 $               33

Since Deluxe has highest contribution margin per machine hour. 15000 machine hours will be used for Deluxe

Total Units of Deluxe = 15000 / 0.75 = 20000 units

Total Contribution Margin = 20000 x $25 = $500000

2.

Basic Standard Deluxe Total
Machine hours required 0.1 0.5 0.75
Hours required for max production 5000 1000 9000
Units 50000 2000 12000
Contribution Margin per unit $                 3 $              10 $               25
Total Contribution Margin $   1,50,000 $       20,000 $    3,00,000 $   4,70,000
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Answer #2

4-62. Optimum Product Mix

source: cost accounting
answered by: zahra.ahmadi
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