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Suppose that a furniture manufacturer makes chairs sofas

Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart of labor hours required and available.

Chair Sofa Table Daily labor available (labor- hours)

Carpentry 66 33 88 720720

Finishing 1 1 2 144144

Upholstery 44 44 0

384384

The profit per chair is $8080, per sofa $6060, and per table $120120. How many pieces of each type of furniture should be manufactured each day to maximize the profit?

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Mathematics: Suppose that a furniture manufacturer makes chairs sofas

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