Question

The Kimball desk company makes two types of computer desks from laminated particle board. The Professional model requires 30 square feet of particle board, 1 keyboard sliding mechanism and 5 hours to fabricate. It sells for $140. The Standard model requires 24 square feet of particle board, 1 keyboard sliding mechanism and 3 hours of labor to fabricate. It sells for $130. In the coming week, the company can buy up to 14,000 square feet of particle board at $1.65 per square foot and up to 500 keyboard sliding mechanisms at a cost of $4.45 each. The company views manufacturing labor as a fixed cost and has 2000 labor hours available in the coming week for the fabrication of the desks.

List the coordinates of the vertices (extreme points) of the feasible region. Begin from (0,0) and move in a clockwise manner, listing the points in the (x,y) format. Assume that Professional (P) is on the horizontal axis and Standard (S) is on the vertical axis.

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 LHS SYMBOL RHS Optimal Solution Professional Standard Revenue (from Solver) Profit (after purchase costs) Coordinates of Graphical Region Profit (after purchase costs) when P-130; S-510

Answer 1

let x be te numbei 4 presidential models sold and be t numbe Senato models sold en usina tRe ive condition our oaiective is re s denti a due to reqboard sliding me fabticafe

1200 oca 600 凇。 500 uoO z00 200 tRo Co, 600 〉Cao (512) I soo ,๐)