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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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Management believes they can increase the price per chair by 10 percent in this new situation and improve profits by 10 percent. However, the sales department cautions that the pri
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