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The Bogard Corporation produces three types of bookcases, which it sells to large office supply companies....

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Basic Math

The Bogard Corporation produces three types of bookcases, whichit sells to large office supply companies. The production of eachbookcase requires two machine operations, trimming and shaping,followed by assembly, which includes inspection and packaging. Eachtype requires 0.4 hours of assembly time, but the machiningoperations have different processing times, as shown in the tablebelow (in hours per unit). Each machine is available for 150 hoursper month, and the current size of the assembly department providescapacity of 200 hours. Each bookcase produced yields a unit profitcontribution as shown below.

Standard Narrow Wide

Trimmer 0.2 0.4 0.6

Shaper 0.6 0.2 0.5

Profit $8 $6 $10

Write a linear optimization model (i.e., identify decisionvariables, objective function and constraints)

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