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Production Planning.

Production Planning.

The Bogard Corporation produces three types ofbookcases, which it sells to large of?ce supply companies. The production of each bookcase requires two machine operations, trimming and shaping, followedbyassembly, whichincludesinspectionand packaging. All three types require 0.4 hours ofassembly time, but the machining operations have different processing times, as shown below, in hours per unit:
Standard Narrow Wide
Trimmer 0.2 0.4 0.6
Shaper 0.6 0.2 0.5
Each machine is available 150 hours per month, and the current size of the assembly department provides capacity of 600 hours. Each bookcase produced yields a unit profit contribution as follows:
Standard Narrow Wide
Pro?t $8 $6 $10
a. What are the optimal production quantities for the company?
b. What is the pattern in the optimal allocation?
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