S 2120-QtMethode Pai 2037 Sporting Equipment maikes two different types of baseb
ID: 377886 • Letter: S
Question
S 2120-QtMethode Pai 2037 Sporting Equipment maikes 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 ime requirements and the revenne coustribution per slove are given in the following table TABLE Production Time (hours) ModelCutting& Sewing Finishing Packaging & Shipping Revenue/Glove Regular Model Catcher's Model 1/2 1/3 1/8 1/4 85 3/2 a) Pornulate a Linear Programming model to maxinize total revenue. Give clear, numeric definitions of your decision variables.Explanation / Answer
Assuming that
X no. of regular model and Y no. of catcher model are constructed.
Objective function = F= 5X+8Y ( Total revenue from production, $5 from X and $8 rom Y)
Max. 5X+8Y
subject to
X +3/2Y <=900
1/2X+1/3Y<=300
1/8X+ 1/4Y <= 6000/60 or 1/8X+1/4Y <=100
X, Y =>0
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