And also...

Y= ?

Optimal solution value 'Z' = ?

Thank you in advance!

40 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. 36- 32- 28- the objective 24- > 20- The aim of the objective function for William should be to value. Decision variables: X = number of wren houses to be produced Y = number of bluebird houses to be produced a) Objective function: 16- 12- Z= x+ 8- 4- Subject to: c C2 0- - + 4X + 2Y 48 4 8 00 12 16 24 28 32 36 40 (C1) (C2) 20 4X + 12Y 120 X,Y 20 b) On the graph on right, constraints C, and Cy have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: x=(round your response to two decimal places). V-Non.n.... mananna to tem danimaleloanal