The sensitivity report is shown in figure below. Optimal Objective Value = 4400.00000 Variable Value Reduced Cost -----.. R 575.00000 0.00000 C 37.50000 0.00000 Constraint Slack/Surplus Dual Value 0.00000 2.00000 0.00000 10.00000 20.62500 0.00000 Variable Objective Allowable Allowable Coefficient Increase Decrease R 7.00000 8.00000 4.00000 10.00000 13.33330 5.33330 Constraint RHS Allowable Allowable Value Decrease -------- Increase 700.00000 471.42800 100.00000 300.00000 50.00000 230.00000 W 100.00000 Infinite 20.62500 a. Determine the objective coefficients ranges. If there is no lower or upper limit, then enter the text "NA" as your answer. Round your answers to two decimal places. Objective Coefficient Range Variable lower limit upper limit Regular Glove Catcher's Mittb. Interpret the ranges in part (a). As long as the profit per regular glove is the optimal solution of gloves will not change. Or as long as the profit per catcher's mitt is the optimal solution of gloves will not change. The assumption is that changed at the same time. c. Interpret the right-hand-side ranges. If there is no lower or upper limit, then enter the text "NA" as your answer. Round your answers to two decimal places. Enter "0" if your answer is zero. Constraint Right-Hand-Side Range lower limit upper limit Cutting and Sewing Finishing Packaging and Shipping As long as the number of hours available for cutting and sewing (Constraint 1) are the change in the optimal value of the solution per unit increase in the right-hand side of the constraint is As long as the number of hours available for finishing (Constraint 2) are the change in the optimal value of the solution per unit increase in the right-hand side of the constraint is As long as the number of hours available for packaging and shipping (Constraint 3) are the change in the optimal value of the solution per unit increase in the right-hand side of the constraint is d. How much will the value of the optimal solution improve if 30 extra hours of packaging and shipping time are made available? If required, round your answer to three decimal places. Enter "0" if your answer is zero. Amount: $Problem 3-06 (Algorithmic) Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 700 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (hours) Cutting Packaging Model and Sewing Finishing and Shipping Profit/Glove Regular model 1/ 2 / 8 $7 Catcher's model 1/ 3 /5 $10 Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 7R + 10C s.t. R + 10/C 3CS 700 Cutting and sewing 1/2 R+ 1/3CS 300 Finishing 1/8 R + 1/5CS 100 Packaging and shipping R, C20