2120Qve Mthoe Pal 2037 3. Teleon Sporting Equipment makes twvo different types o

Question

2120Qve Mthoe Pal 2037 3. Teleon Sporting Equipment makes twvo different types of baseball sloves: a relar 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 resquirements and the revenne contribution per slove are given in the following table TABLE 1: Production Time (hours) Cutting & Sewing Finishing Packaging & Shipping Revenue/ Glove Model Regular Model Catcher's Model 1/2 1/3 1/8 1/4 85 3/2 a) Forulate a Linear Programming model to maximize total revenue. Give clear numeric definitions of your decision variables.

Explanation / Answer

LP model formulation is as follows:

Decision variables:

R = Number of Regular model of gloves to make

C = Number of Catcher model of gloves to make

Objective: Max 5R+8C

s.t.

R + (3/2)C <= 900 cutting & sewing time (hours)

(1/2)R + (1/3)C <= 300   finishing time (hours)

(1/8)R + (1/4)C <= 6000/60 packaging & shipping time (hours)

R, C >= 0

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