Can you please solve the linear equation graphically with clear steps

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Can you please solve the linear equation graphically with clear steps 

Special case 3:
Alternative optimal solutions (2)
Max Z=- 2x₁ + x₂
s.t.
X₁ - 2X₂ ≤ 4
-2X₁ + X₂ ≤ 3
X₁, X2₂ ≥ 0
8
7
6
4
There is a unique basic
optimal solution: x* = (0, 3)
and any point on the half-line
or ray bounded by x* is an
alternative optimal solution. 37
For any of these points, the
2
maximum is: Z* = 3
(-2,1)
1
-2x₁+x₂=3
ISO-profit line
Feasible Solution Region
1 2 3 4 5 6 7
x₁- 2x₂=4
8 9 10
X₂
Transcribed Image Text:Special case 3: Alternative optimal solutions (2) Max Z=- 2x₁ + x₂ s.t. X₁ - 2X₂ ≤ 4 -2X₁ + X₂ ≤ 3 X₁, X2₂ ≥ 0 8 7 6 4 There is a unique basic optimal solution: x* = (0, 3) and any point on the half-line or ray bounded by x* is an alternative optimal solution. 37 For any of these points, the 2 maximum is: Z* = 3 (-2,1) 1 -2x₁+x₂=3 ISO-profit line Feasible Solution Region 1 2 3 4 5 6 7 x₁- 2x₂=4 8 9 10 X₂
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