The quality desk company makes two types of computer desks from laminated particle board. the presidential model sells for s149 and requires 30 square feet of particle board, 1 keyboard sliding mechanism, and 5 hours of labor to fabricate. the senator model sells for $135 and requires 24 square feet of particle board, 1 keyboard sliding mechanism, and 3 hours of labor to fabricate. in the coming week, the company can buy up to 15,000 square feet of particle board at a price of $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 3,000 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?