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20 p The Quality desk company makes two types of computer desks from laminated particle board. The President model requires 30 square feet of particle board, 1 keyboard sliding mechanism and 5 hours to fabricate 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 the desks. Note: When setting up this problem use the information about how much money the company invests in buying particle board and keyboard mechanisms after finding the optimal solution. Round all your answers to the nearest whole number. The linear programming model can be summarized below. Assume the first variable is denoted P and the second variable is denoted by S. Complete the table below, first, the objective function and then the constraints, followed by the full solution. Round all answers to nearest whole number (including $ amounts) Max/Min Objective Function Complete LAS SYMBOL RHS Optimal Solution President Senator Revenue (from Solver) Optimal Solution President Senator Revenue (from Solver) Profit (after purchase costs) Graphical Coordinates of Feasible Region cont. Profit (after Purchase costs) when P=140 and S=480