please answer this question clearly in chronological order.

1. Sporting Goods Product Mix. Kelson Sporting Equipment, Inc. makes two types of Sol baseball gloves: a regular model and a catcher's model. The firm has 900 hours of produc- tion time available in its cutting and sewing department, 300 hours available in its finishing on department, and 100 hours available in its packaging and shipping department. The produc- tion time requirements and the profit contribution per glove are given in the following table: Cutting and Sewing Model Regular model om Catcher's model Production Time (hours) Packaging Finishing and Shipping X X X Profit/Glove $5 $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? b. Develop a spreadsheet model and find the optimal solution using Excel Solver. How many of each model should Kelson manufacture? c. What is the total profit contribution Kelson can earn with the optimal production quantities? d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department? lumat TI