Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 845 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) Model Cutting and Sewing Finishing Packaging and Shipping Profit/Glove 1 Regular model 1 1 / 1 1 8 $2 3 Catcher's model 1 3 1 4 $3 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? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Max s.t. cutting and sewing finishing packaging and shipping RC20 (b) Develop a spreadsheet model and find the optimal solution using Excel Solver. How many of each model should Kelson manufacture? regular model gloves catcher's model gloves (c) What is the total profit contribution in dollars) Kelson can earn with the optimal production quantities? $ (d) How many hours of production time will be scheduled in each department? cutting and sewing hours finishing hours packaging and shipping hours (e) What is the slack time (in hours) in each department? cutting and sewing hours finishing hours packaging and shipping hours