Solve the following linear programming problem graphically: Maximize Z=3X+5Y Subject to: 4X+4Y≤48 C₁ 1X+2Y=20 C₂ y22 C3 X, YZ0 1) Using the line drawing tool, plot constraint C₁ by picking two endpoints for the line. 2) Using the point drawing tool, plot the corner points which define the feasible region. 20+ 18- 16+ 14+ 12- 10- 8+ 6- 4- 24 X Objective functions X Q o 4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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example 8

Solve the following linear programming problem graphically:
Maximize Z = 3X +5Y
Subject to:
4X+4Y≤48 C₁
1X+2Y≤20 C₂
C3
y22
X, Y Z 0
1) Using the line drawing tool, plot constraint C₁ by picking two endpoints for the
line.
2) Using the point drawing tool, plot the corner points which define the feasible
region.
-C
20-
18-
16-
14-
12-
10-
8-
6-
4
2-
04
Y
(0,0)
XXX
Objective functions
10 12
14
X
16 18 20
Q
Transcribed Image Text:Solve the following linear programming problem graphically: Maximize Z = 3X +5Y Subject to: 4X+4Y≤48 C₁ 1X+2Y≤20 C₂ C3 y22 X, Y Z 0 1) Using the line drawing tool, plot constraint C₁ by picking two endpoints for the line. 2) Using the point drawing tool, plot the corner points which define the feasible region. -C 20- 18- 16- 14- 12- 10- 8- 6- 4 2- 04 Y (0,0) XXX Objective functions 10 12 14 X 16 18 20 Q
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