1. A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes four hours of labor and four units of lumber. Each bluebird house requires two hours of labor and twelve units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses profit $6 each and bluebird houses profit $15 each.

a. Algebraically state the objective and constraints of this problem.

b. Plot the constraints on a grid and identify the feasible region, and optimal point.

Include a statement of the solution quantities (how many of which product), a statement of the maximum profit achieved by your product