I want correct answer with explanation...

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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

Max Z=103.75X1+97.85X2

Subject to:

30X1+24X2 15,000

X1+ X2 600

5X1+ 3X2 3,000

a) Perform the calculations to show that the profits for the Presidential computer desks are $103.75 and the Senator computer desks are $97.85.

b) Use the solver in Excel to find the optimal solution. Indicate the value of X₁, X₂, and Z using the context of the problem. In other words, give your answers as sentences.