David Company produces two types of gears, Gear A and Gear B, with unit contribution margins of $6 and $8, respectively. Each gear must spend time on a special machine. The firm owns five machines that together provide 12,000 hours of machine time per year. Gear A requires 12 minutes of machine time; Gear B requires 24 minutes of machine time.   A. What is the contribution margin per hour of machine time for Gear A? Gear B?   ______________________________ B. If David faces only the production constraint (12,000 hours of machine time), how many units of Gear A should be produced? Gear B? What is the total contribution margin from this product mix?   ______________________________ C. Now suppose that David cannot sell more than 40,000 units of each type of gear. How many units of Gear A should be produced? Gear B? What is the total contribution margin from this product mix?   ______________________________

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
Section: Chapter Questions
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David Company produces two types of gears, Gear A and Gear B, with unit contribution margins of $6 and $8, respectively. Each gear must spend time on a special machine. The firm owns five machines that together provide 12,000 hours of machine time per year. Gear A requires 12 minutes of machine time; Gear B requires 24 minutes of machine time.

 

A.

What is the contribution margin per hour of machine time for Gear A? Gear B?

 

______________________________

B.

If David faces only the production constraint (12,000 hours of machine time), how many units of Gear A should be produced? Gear B? What is the total contribution margin from this product mix?

 

______________________________

C.

Now suppose that David cannot sell more than 40,000 units of each type of gear. How many units of Gear A should be produced? Gear B? What is the total contribution margin from this product mix?

 

______________________________

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