A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below: Туре Plastic Rubber Silver Basic 1 2 2 Deluxe Supreme 2 2 4 1 2 4 The company has 700 units of plastic, 1000 units of rubber, and 1600 units of silver. It makes a profit of $5, $6, and $3 respectively on basic, deluxe, and supreme pencil holders. Assuming that all pencil holders which are manufactured can be sold, determine the number of each type of pencil holder the company should produce to maximize its profit. Number of Basic pencil holders = Number of Deluxe pencil holders: = Number of Supreme pencil holders =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below:
Туре
Plastic Rubber
Silver
Basic
1
2
2
Deluxe
Supreme
2
2
4
1
2
4
The company has 700 units of plastic, 1000 units of rubber, and 1600 units of silver. It makes a profit of $5, $6, and $3 respectively on basic, deluxe, and
supreme pencil holders. Assuming that all pencil holders which are manufactured can be sold, determine the number of each type of pencil holder the
company should produce to maximize its profit.
Number of Basic pencil holders =
Number of Deluxe pencil holders:
=
Number of Supreme pencil holders =
Transcribed Image Text:A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below: Туре Plastic Rubber Silver Basic 1 2 2 Deluxe Supreme 2 2 4 1 2 4 The company has 700 units of plastic, 1000 units of rubber, and 1600 units of silver. It makes a profit of $5, $6, and $3 respectively on basic, deluxe, and supreme pencil holders. Assuming that all pencil holders which are manufactured can be sold, determine the number of each type of pencil holder the company should produce to maximize its profit. Number of Basic pencil holders = Number of Deluxe pencil holders: = Number of Supreme pencil holders =
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