Solve these problems using graphical linear programming and then answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables. Z = 2x1 + 3x2D4x1 + 2x₂ 2 20E2x1 + 6x2 2 18F1x1 + 2x₂ ≤ 12X1, X2 ≥ 01. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.)Decision VariablesX₁X2ZOptimal valuesb. MinimizeSubjectto:

The given linear programming problem is Min Z=2x1+3x2 Subject to…

b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20 1. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.) Decision Variables X1 X2 Z Optimal values D

b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20 1. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.) Decision Variables X1 X2 Z Optimal values D

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 40E

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Question

Solve these problems using graphical linear programming and then answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables.

Z = 2x1 + 3x2
D
4x1 + 2x₂ 2 20
E
2x1 + 6x2 2 18
F
1x1 + 2x₂ ≤ 12
X1, X2 ≥ 0
1. What are the optimal values of the decision variables and Z? (Round your answers to 1 decimal place.)
Decision Variables
X₁
X2
Z
Optimal values
b. Minimize
Subject
to:

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