Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 700 hours of production time available in its cutting an sewing department, 400 hours available in its finishing department, and 200 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) Cutting and Packaging and Model Sewing Finishing Shipping Profit/Glove Regular model 1 1/2 1/8 $5 Catcher's model 3/2 1 1/4 $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? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R = number of units of regular model. C = number of units of catcher's model. Маx R + s.t. R + Select your answer - v Cutting and Sewing R + C - Select your answer - v Finishing R + C - Select your answer - v Packing and Shipping R, C Select your answer - v

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
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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 700 hours of production time available in its cutting and
sewing department, 400 hours available in its finishing department, and 200 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)
Cutting and
Packaging and
Model
Sewing
Finishing
Shipping
Profit/Glove
Regular model
1
1/2
1/8
$5
Catcher's model
3/2
1
1/4
$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? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be
entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0".
Let R = number of units of regular model.
C = number of units of catcher's model.
Маx
R +
s.t.
R +
- Select your answer -
Cutting and Sewing
R +
- Select your answer - v
Finishing
R +
C
- Select your answer - v
Packing and Shipping
R, C
Select your answer - v
Transcribed Image Text:Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 700 hours of production time available in its cutting and sewing department, 400 hours available in its finishing department, and 200 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) Cutting and Packaging and Model Sewing Finishing Shipping Profit/Glove Regular model 1 1/2 1/8 $5 Catcher's model 3/2 1 1/4 $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? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R = number of units of regular model. C = number of units of catcher's model. Маx R + s.t. R + - Select your answer - Cutting and Sewing R + - Select your answer - v Finishing R + C - Select your answer - v Packing and Shipping R, C Select your answer - v
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