graph the solution as well

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 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= 48 X + 120 Y Subject to 4X + 2Y s 48 (C1) (C2) 4X + 12Y s 120 X Y 20 X = number of wren houses to be produced Y = number of bluebird houses to be produced a) Objective function: Z = 48X + 120 Y Subject to: 4X + 2Y 48 (C1) 120 (C2) 4X + 12Y s 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). Y= (round your response to two decimal places). Optimal solution value 'Z' = (round your response to two decimal places). 0 40 36- 324 28- 24- - 20- 16- 124 84 4 C1 C2. - 24 12 16 28 32 36 40 FAX