# The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. Determine the number of chairs and tables to produce each day in order to maximize profit.

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The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 pounds of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 pounds of wood to product, whereas a table requires 10 hours of labor and 6 pounds of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.

Formulate a linear programming model for this program.

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The solution takes you through the reasoning needed to find and solve the equations.

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Hello!

Let's call X to the production of chairs and Y to the production of tables. Since profit from each chair is $400, and from each table it's $100, then the objective function is 400X + 100Y. So the linear program starts with:

Max 400X + ...

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