Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its nishing 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 and Packaging and Model Sewing Finishing Shipping Profit/Glove Regular model 1 1/2 1/8 $5 Catcher's model 3/2 1/3 1/4 $8 Assuming that the company is interested in maximizing the total profit contribution, answer the following: (a) What is the linear programming model for this problem? Enter the answers as fractions or round the answers to 3 decimal places. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R = number of units of regular model. C = number of units of catcher's model. Max 5 R + 8 C s.t. R + C S v 900 Cutting and Sewing R + C S v 300 Finishing R + C S v 100 Packing and Shipping R, C a v o (b) Develop a spreadsheet model and find the optimal solution using Solver. How many gloves of each model should Kelson manufacture? Regular Model = 500 units Catcher's Model = 150 units (c) What is the total profit contribution Kelson can earn with the given production quantities? $ 3 700 (d) How many hours of production time will be scheduled in each department? Department Time Used (Hours) Cutting and Sewing Finishing Packing and Shipping (e) What is the slack time in each department? If your answer is zero, enter \"".0 Department Slack Time (Hours) Cutting and Sewing Finishing Packing and Shipping