L.P. Model: Maximize Subject to: Z = 1X + 10Y 4X+3Y ≤ 36 2X+4Y ≤40 1Y 28 X,Y 20 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X= (round your response to two decimal places). Y= (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places). (C₁) (C₂) (C3)
L.P. Model: Maximize Subject to: Z = 1X + 10Y 4X+3Y ≤ 36 2X+4Y ≤40 1Y 28 X,Y 20 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X= (round your response to two decimal places). Y= (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places). (C₁) (C₂) (C3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:L.P. Model:
Maximize
Subject to:
Z = 1X + 10Y
(C₁)
(C₂)
(C3)
4X+3Y ≤ 36
2X+4Y ≤40
1Y 28
X,Y 20
1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph.
2.) Using the point drawing tool, plot the point that maximizes the objective function.
The optimum solution is:
X =
(round your response to two decimal places).
Y =
(round your response to two decimal places).
Optimal solution value Z = (round your response to two decimal places).
22-
20-
18-
16+
14-
12-
10-
8-
6-
4-
2-
0-
+++~
1
0 2 4
6 8
.
10 12 14 16 18 20 22
X
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