A company manufactures two types of washers, top load and front load. The company can manufacture a maximum of 18 washers per day. It makes a profit of $20 on top load machines and $25 on front load machines. No more than 5 front load machines can be manufactured due to production restrictions. To meet consumer demand, the company must manufacture at least 2 front load machines and 2 top load machines per day.

(a) List the constraints. 

(b) Determine the objective function. 

(c) Graph the set of constraints.

(d) Determine the vertices of the feasible region.

(e) How many washing machines of each type should be made to maximize profit?

(f)  Determine the maximum profit.

Solve the linear programming problems.