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Urgent. A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours
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A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 48 hours of labor and 120 units of lumber. Wren houses yield a profit of $10 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to the objective value. Decision variables: X= number of wren houses to be produced Y= number of bluebird houses to be produced a) Objective function: Z=X+Y Subject to: 4X+2Y4X+12Y18=(C1)(C2)X,Y0 b) On the graph on right, constraints C1 and C2 have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X=(roundyourresponsetotwodecimalplaces).Y=(roundyourresponsetotwodecimalplaces). Optimal solution value 'Z' = (round your response to two decimal places)Step by Step Solution
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