. A company makes two types of computer desks from laminated particle board. The Presidential computer desk model requires 30 square feet of particle board, one keyboard sliding mechanism, 5 hours of labor to fabricate, and sells for $149. The Senator computer desk model requires 24 square feet of particle board, one keyboard sliding mechanism, requires 3 hours of labor to fabricate, and 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 3,000 labor hours available in the coming week for the fabrication of these desks. Determine the number of Presidential and Senator computer desk models that should be made to maximize profit.

Let X₁ = number of Presidential computer desks manufactured next week

X₂ = number of Senator computer desks manufactured next week