Kelson sporting equipment, inc., makes two different types of

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     Kelson Sporting   Equipment, Inc., makes two different types of baseball gloves: a regular   model and a catcher’s model. The firm has 800 hours of production time   available in its cutting and sewing department, 150 hours available in its   finishing department, and 400 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 Regular model 1 1/4   1/6 $5 Catcher’s model 1/2 1/2 1/4 $7 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? If required, round your   answers to 3 decimal places or enter your answers as a fraction.   Let R   = number of units of regular model. C = number of units of catcher’s model.     Max R + C s.t. R + C Cutting and sewing R + C Finishing R + C Packing   and Shipping R, C 0     (b) Develop a spreadsheet model and find   the optimal solution using Solver. How many gloves of each model should   Kelson manufacture?   Regular Model = units   Catcher’s Model =   units     (c) What is the total profit contribution Kelson can earn   with the given production quantities? $