3. Telson Sporting Equipment makes two different types of baseball gloves: a reg

Question

3. Telson Sporting Equipment 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 finishing department, and 6000 minutes available in its packaging and shipping department. The production time requirements and the revenue contribution per glove are given in the following table: TABLE 1: Production Time (hours) Cutting & SewingFinishing Packaging & ShippingRevenue/Glove Model Regular Model Catcher's Model 1/8 $5 3/2 $8 a) Formulate a Linear Programming model to maximize total revenue. Give clear, numeric definitions of your decision variables

Explanation / Answer

Model Cutting and Sewing Finishing Packing n Shipping Revenue Regular 1 0.5 0.125 5 Catcher 1.5 0.33 0.25 8 Model Cutting and Sewing Finishing Packing n Shipping Revenue Regular 500 250 62.5 2500 Catcher 225 50 37.5 1200 Total 725 300 100 3700 Max 900 300 100 Optimal solution Qty Optimal value Ans 1 Regular 500 3700 Catcher 150 As allowable increase is 2 then till 10 the optimal solution remains same Ans 2 Optimal solution Qty Optimal value Regular 500 3700 Catcher 150 As allowable decrease is 1 then till 4 the optimal solution remains same Ans 3 Optimal solution Qty Optimal value Regular 500 3700 Catcher 150 As allowable decrease is 166.67 then till 133.33 the optimal solution remains same Ans 4 Optimal solution Qty Optimal value Regular 500 3700 Catcher 150 No as there is another constraint that is limiting, i.e Finishing, so adding additional hours is of no use Ans 5

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