(25 pts) Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 1,200 hours of production time available in its cutting and sewing department, 500 hours available in its finishing department, and 300 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Product Cutting & Sewing 0.8 Profit/Glove Production Time (hours) Packaging & Finishing Shipping 0.3 0.25 Regular $5 Catcher's 1.25 0.5 0.3 $7 a) (15 pts) Formulate a linear mathematical model which maximizes the total profit and solve the LP problem by using excel solver. (Create an excel spreadsheet Qla) b) (10 pts) Assume that all the variables must be an integer value and modify your model in part A and create an Integer Programming (IP) model and solve this IP by using excel solver (Create an excel spreadsheet (lb)