Mathematics Homework Solutions
Problem
#5565

Linear Progamming: Graphical Methods

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Use graphical methods to solve the linear programming problems

Minimize subject to: z = x + 3y
x + y  10
5x+2y 20
-x +2y  0
x  0
y  0



Maximize subject to: z = 4x + 5y
               10x - 5y  100
               20x+10y 150
-x +   y  12
x  0
y  0

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graphical methods 1.doc  View File
graphical methods 2.doc  View File

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graphical methods 1.doc
Use graphical methods to solve the linear programming problems

Minimize subject to: z = x + 3y

10

20

0

0

0
graphical methods 2.doc
Use graphical methods to solve the linear programming problems

Maximize subject to: z = 4x + 5y

100

150

12

0

0

Solution Summary

Two linear programming problems are solved using graphical methods.

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