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A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table...

A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 3 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours. If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars?

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