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The Hickory Cabinet and Furniture Company makes chairs and tables. The company has developed the following nonlinear programming model to determine the optimal number of chairs (x1) and tables (x2) to produce each day to maximize profit, given a constraint for available mahogany wood.
Maximize 280x1 - 6x1^2 + 160x2 ¡ 3x2^2
Subject to 20x1 + 10x2 = 800 board feet x1; x2 > or equal to 0
Determine the optimal solution to this model.
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Shipping charges of $0.50 per pair on all pairs shipped to distribution centers in the same region as the production plant and $1.00 on all pairs shipped from one region to another
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