Solve the following linear programming problem graphically: Maximize Z=4X₁ + 4X₂ Subject to: 3X₁ +5X₂ ≤ 150 X₁ - 2X₂ ≤ 10 5X₁ +3X₂ ≤ 150 X₁, X2₂ 20 1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints. 2) Using the point drawing tool, plot the five corner points which define the feasible region. The optimal solution is X₁ = and X₂ = (round your responses to two decimal places). Maximum profit is $ (enter your response as a whole number).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Solve the following linear programming problem graphically:
Maximize Z=4X₁ +4X₂
Subject to:
3X₁ +5X₂ ≤ 150
X₁-2X₂ ≤ 10
5X₁ + 3X₂ ≤ 150
X₁, X₂ 20
1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not
plot the nonnegativity constraints.
2) Using the point drawing tool, plot the five corner points which define the feasible region.
The optimal solution is X₁
=
Maximum profit is $
and X₂ = (round your responses to two decimal places).
(enter your response as a whole number).
Transcribed Image Text:Solve the following linear programming problem graphically: Maximize Z=4X₁ +4X₂ Subject to: 3X₁ +5X₂ ≤ 150 X₁-2X₂ ≤ 10 5X₁ + 3X₂ ≤ 150 X₁, X₂ 20 1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints. 2) Using the point drawing tool, plot the five corner points which define the feasible region. The optimal solution is X₁ = Maximum profit is $ and X₂ = (round your responses to two decimal places). (enter your response as a whole number).
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