Question

PRODUCT MIX DECISION, SINGLE CONSTRAINT

Sealing Company manufactures three types of DVD 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 is as follows:
Basic Standard Deluxe
Selling price $9.00 $30.00 $35.00
Variable cost $6.00 $20.00 $10.00
Machine hours required 0.10 0.50 0.75
Sealing Company's marketing director has assessed demand for the three types of storage units and believes that the firm can sell as many units as it can produce.
Required:
1. How many of each type of unit should be produced and sold to maximize the company's contribution margin? What is the total contribution margin for your selection?
2. Now suppose that Sealing Company believes that it can sell no more than 12,000 of the deluxe model but up to 50,000 each of the basic and standard models at the selling prices estimated. What product mix would you recommend, and what would be the total contribution margin?

Answer 1

1.. Unit produce 20,000 ​deluxe units per year

Units sold $33.33

Total contribution margin $500,000

2. Basic 50,000 units

Standard 2,000 units

Deluxe 12,000 units

$470,000

Step-by-step explanation:

1. Calculation to determine How many of each type of unit should be produced and sold to maximize the company's contribution margin? What is the total contribution margin for your selection?

BASIC STANDARD DELUXE

Price $9 $30 $35

Less Variable cost 6 20 10

=Contribution margin (A) 3 10 25

Machine hours (B) 0.1 0.5 0.75

Contribution margin per

machine hours (A/B) $30 $20 $33.33

Unit produce=(15,000/0.75)

Unit produce=20,000 deluxe units per year.

In order to maximize the company's contribution margin the company should sell deluxe unit with contribution margin of the amount of $ 33.33 per machine hour

Total contribution margin= 20,000 units,*$25

Total contribution margin= $500,000.

Therefore The amount of unit that should be produced is 20,000 units and $33.33 will be sold to maximize the company's contribution margin while the the total contribution margin for your selection is $500,000

2. Calculation to determine product mix would you recommend, and what would be the total contribution margin

The product mix to recommend will be:

Basic 50,000 units

Standard 2,000 units

Deluxe 12,000 units

Calculation to determine Total contribution margin

Total contribution margin= ($3 × 50,000) + ($25 × 12,000) + ($10 × 2,000)

Total contribution margin=$150,000+$300,000+$20,000

Total contribution margin = $470,000

Therefore Total contribution margin is$470,000