Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
Question
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Chapter 3, Problem 36RP
Program Plan Intro

Linear program:

Let,

x be the number of layout in Type 1

y be the number of layout in Type 2

z be the number of layout in Type 3

The, the LPP becomes,

Maximize, Z=50x+30y+60z

Subject to the constraints,

Z=50x+30y+60z30x+10y+20z100020x+40y+50z8004x+3y+32z100

And x,y,z0

This is the required linear programming problem.

Explanation of Solution

b.

Change to the LP:

Given, there must be at least 5 layouts in each type.

We have,

x be the number of layout in Type 1

y be the number of layout in Type 2

z be the number of layout in Type 3

Then the constraint,

x5,y5,z5 should be added to the LP.

Then the LPP becomes,

Maximize, Z=50x+30y+60z

Subject to the constraints,

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Chapter 3 Solutions

Introduction to mathematical programming

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