The Boards and Blades Company manufactures skateboards and in-line skates. The company can produce a maximum of 20 skateboards and pairs of in-line skates per day. It makes a profit of $25 on a skateboard and a profit of $20 on a pair of in-line skates. The company’s planners want to make at least 3 skateboards but not more than 6 skateboards per day. To keep customers happy, they must make at least 2 pairs of in-line skates 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 skateboards and pairs of in-line skates should be made to maximize the profit?

(f)  Determine the maximum profit.

Solve the linear programming problems.