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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 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   Model Cutting and Sewing Finishing Packaging and Shipping Profit / Glove           Regular Model 1 1/2 1/8 $5 Catcher Model 3/2 1/3 1/4 $8   Assuming that the company is interested in maximizing the total profit contribution, answer the following: What is the linear programming model for this problem? Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson Manufacture? What is the total profit contribution Kelson can earn with the given production quantities?

Kelson Sporting Equipment, Inc., makes 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 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   Model Cutting and Sewing Finishing Packaging and Shipping Profit / Glove           Regular Model 1 1/2 1/8 $5 Catcher Model 3/2 1/3 1/4 $8   Assuming that the company is interested in maximizing the total profit contribution, answer the following: What is the linear programming model for this problem? Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson Manufacture? What is the total profit contribution Kelson can earn with the given production quantities?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 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

 

Model

Cutting and Sewing

Finishing

Packaging and Shipping

Profit / Glove

 

 

 

 

 

Regular Model

1

1/2

1/8

$5

Catcher Model

3/2

1/3

1/4

$8

 

Assuming that the company is interested in maximizing the total profit contribution, answer the following:

  1. What is the linear programming model for this problem?
  2. Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson Manufacture?
  3. What is the total profit contribution Kelson can earn with the given production quantities?
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