Please answer all boxes as well will like after answered thank you experts!

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: Packaging and Shipping Model Profit/ Glove Production Time (hours) Cutting and Sewing Finishing 1 1/2 1/3 Regular model $7 1/8 15 Catcher's model $10 Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max ZR + 100 s.t. R + 10 Cutting and sewing 19/3cs 700 1/2R + 1/3C5 300 1/R + 1/cs Finishing CS 100 Packaging and shipping R, C20 The sensitivity report is shown in figure below. Optimal Objective Value = 4400.00000 Variable Value 575.00000 37.50000 Reduced Cost 0.00000 0.00000 Constraint Slack/Surplus ------------------- 0.00000 0.00000 20.62500 Dual Value ------------- 2.00000 10.00000 0.00000 2 3 The sensitivity report is shown in figure below. Optimal Objective Value = 4400.00000 ------------- Variable R Value 575.00000 37.50000 Reduced Cost -------- 0.00000 0.00000 Constraint 1 Slack/Surplus ------------ 0.00000 0.00000 20.62500 Dual Value ----------- 2.00000 10.00000 0.00000 2 3 Variable variable Objective Coefficient ------------ 7.00000 10.00000 Allowable Increase -------------- 8.00000 13.33330 Allowable Decrease -------------- 4.00000 R 5.33330 Constraint 1 RHS Value -------------------- 700.00000 300.00000 100.00000 Allowable Increase --------- 471.42800 50.00000 Infinite Allowable Decrease -------------- 100.00000 230.00000 20.62500 2 3 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. 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 Mitt b. Interpret the ranges in part (a). As long as the profit per regular glove is the optimal solution of v 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 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 2 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: $