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, 300 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 Shipping 1/6 3/4 Model Sewing Finishing Profit/Glove Regular model 1 3/2 $4 Catcher's model 3/2 1/2 $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 the box. Do not round intermediate calculation. If an amount is zero, enter "0".
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, 300 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 Shipping 1/6 3/4 Model Sewing Finishing Profit/Glove Regular model 1 3/2 $4 Catcher's model 3/2 1/2 $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 the box. Do not round intermediate calculation. If an amount is zero, enter "0".
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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, 300 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:
Model
Regular model
Catcher's model
Production Time (Hours)
Max
Cutting and
Sewing
s.t.
Profit/Glove
$4
$8
Assuming that the company is interested in maximizing the total profit contribution, answer the following:
1
3/2
(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.
R +
R +
Finishing
3/2
1/2
R +
R +
Packaging and
Shipping
1/6
3/4
R, C
C
units
C
с
C
Select your answer -
- Select your answer - V
Select your answer -
- Select your answer -
Cutting and Sewing
Finishing
Packing and Shipping
(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 =
Transcribed Image Text:(c) What is the total profit contribution Kelson can earn with the given production quantities?
$
(d) How many hours of production time will be scheduled in each department?
Department
Production Time (Hours)
Cutting and Sewing
Finishing
Packing and Shipping
(e) What is the slack time in each department? If your answer is zero, enter "0".
Department
Slack Time (Hours)
Cutting and Sewing
Finishing
Packing and Shipping
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