Answered: A, What is the linear programming model…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

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?

Decision Variables:
LP Model:

B.Find the optimal solution using the graphical solution procedure.

1.Feasible Region:
2. Identify the binding constraint/s:
3. Identify the rebundant constraint/s:
4.How many gloves of each model should Kelson manufacture?
5.What is the total profit contribution Kelson can earn with the given production quantities?

C.How many hours of production time will be scheduled in each department?

D.What is the slack time in each department?

E.Compute the range of optimality for the objective function coefficients

1. Kelson Sporting Equipment, Inc., makes two different types of baseball
gloves: a regular model and a catcher's model. The fim has 900 hours of
production time available in its cutting and sewing department, 300 hours
available in its finishing department, and 100 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
Packaging
Model
and Sewing
Finishing and Shipping
Profit/Glove
Regular model
1
1/2
1/8
$5
Catcher's model
3/2
1/3
1/4

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