# 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?

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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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