Question: Plot all the corner points for the feasible area Find the Optimal number of birdhouses for wrens = Find the Optimal number of birdhouses for

Plot all the corner points for the feasible area

Find the Optimal number of birdhouses for wrens =

Find the Optimal number of birdhouses for bluebirds =

Find the Maximum Profit = $

Plot all the corner points for the feasible area

Plot all the corner points for the feasible area

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 72 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 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=6X+15Y Subject to: 4X+2Y4X+12YX,Y072120(C1)(C2) The aim of the objective function for William should be to Maximize 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=6X+15Y Subject to: 4X+2Y4X+12YX,Y072120(C1)(C2) 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

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