Bricktan Inc. makes three products, basic, classic, and deluxe. The maximum Bricktan can sell is 130,000 units of basic, 508,000 units of classic, and 230,000 units of deluxe. Bricktan has limited production capacity of 134,000 hours. It can produce 10 units of basic, 8 units of classic, and 4 units of deluxe per hour. Contribution margin per unit is $15 for the basic, $25 for the classic, and $55 for the deluxe. What is the total contribution margin if Bricktan chooses the most profitable sales mix?

the total contribution margin if Bricktan chooses the most profitable sales mix is $27,000,000

Explanation:

It is important to note that the limiting factor identified is the production hours.

Step 1 Calculate Contribution per limiting factor of each product

Basic

1 unit requires 0.1 hours

Contribution per limiting factor = Contribution per unit / Quantity of limiting factor per unit

= $15/0.10

= $150

Classic

1 unit requires 0.125 hours

Contribution per limiting factor = Contribution per unit / Quantity of limiting factor per unit

= $25/0.125

= $200

Deluxe

1 unit requires 0.25 hours

Contribution per limiting factor = Contribution per unit / Quantity of limiting factor per unit

= $55/0.25

= $220

Step 2 Rank the products

1st = Deluxe

2nd = Classic

3rd = Basic

Step 3 Determine the production mix

Product Total hours demanded Balance

Capacity 134,000

Deluxe (230,000*0.25) = 57,500 76,500

Classic (508,000*0.125) = 63,500 13,000

Basic (130,000*0.1) = 13,000 0

Step 4 Calculate total contribution

Deluxe (230,000*$55) = 12,650,000

Classic (508,000*$25) = 12,700,000

Basic (130,000*$15) = 1,650,000

Total = 27,000,000