Problem 3-06 (Algorithmic) Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Th available in its packaging and shipping department. The production time requirements and the profit contribution per glov Model Production Time (hours) Cutting Packaging and Sewing Finishing and Shipping 1/2 178 2 3/2 27 5 17 2 Regular model Catcher's model Profit/Glove $8 $11 Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 8R + 110 s.t. 2R + 1200 3203 1/2R+ 2Cs 2 1/8R+ /scs 120 250 Cutting and sewing Finishing Packaging and shipping R, CO The sensitivity report is shown in figure below. Optimal Objective Value = 6645.00000 Variable Value Reduced Cost R 40.00000 575.00000 0.00000 0.00000 Constraint 1 Slack/Surplus 257.50000 0.00000 0.00000 Dual Value 0.00000 4.50000 46.00000 2 3 Variable Allowable Increase Objective Coefficient 8.00000 11.00000 Allowable Decrease 1.12500 4.60000 R 5.75000 1.80000 Allowable Constraint . RHS Value .............. 1200.00000 250.00000 1 2 3 3 Increase .......... Infinite 60.58820 5.00000 Allowable Decrease ........... 257.50000 10.00000 57.50000 120.00000 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 Mitt b. 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 3 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: $