a)

b)

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) 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. Solve the following linear programming problem graphically: MaximizeZ=3X+5YSubjectto:1X+2YX,Y4X+4Y4820Y0C1C2C3 1) Using the line drawing tool, plot constraint C1 by picking two endpoints for the line. 2) Using the point drawing tool, plot the corner points which define the feasible region