The Quality Desk Company makes two types of computer desks from laminated particle board. The Presidential model requires 30 square feet of particle board, 1 keyboard sliding mechanism, and 5 hours of labor to fabricate. It sells for $149. The Senator model requires 24 square feet of particle board, 1 keyboard sliding mechanism, and 3 hours of labor to fabricate. It sells for $135. In the coming week, the company can buy up to 15,000 square feet of particle board at $1.35 per square foot and up to 600 keyboard sliding mechanisms at a cost of $4.75 each. The company views manufacturing labor as a fixed cost and has 3000 labor hours available in the coming week for the fabrication of these desks.
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. What is the optimal solution?