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# Linear Programming: Profit Maximization

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You are a woodworker who makes tables and chairs.
Each table requires \$80 in materials, 4 hrs of labor and earns \$70 profit. Each chair requires \$80 in materials, 8 hrs of labor, and earns \$120 profit. This week you have \$960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit?

##### Solution Summary

The maximm profit is calculated using linear programming.

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Suppose we need to build tables and chairs.
From the condition, each table earns \$70 profit and each chair earns \$120 profit. So we get the object function:
From the condition, each table requires \$80 in material and each chair requires \$80 in material and you have \$960 in material. So we ...

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