Min Z- Subject to: 4x₁ + 3x2 2 200 (constraint 1) 2x1 + x2 270 (constraint 2) X1, X2 20 14x1 + 10x2 X₂ A 70 67 66.67 optimal point constraint 2 B (5, 60) Feasible Area с 47.5 50 objective function constraint 1 35 What is the upper limit of the first coefficient of the objective function (c₁)? X₁

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 135P
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Question
Min Z-
14x₁ + 10x2
Subject to:
4x₁ + 3x2 > 200 (constraint 1)
2x₁ + x2 > 70 (constraint 2)
X1, X2 ≥ 0
X2
A
70
67
66.67
optimal point
constraint 2
B (5, 60)
35
Feasible
Area
с
47.5 50
objective function
constraint 1
What is the upper limit of the first coefficient of the objective function (c₁)?
X₁
Transcribed Image Text:Min Z- 14x₁ + 10x2 Subject to: 4x₁ + 3x2 > 200 (constraint 1) 2x₁ + x2 > 70 (constraint 2) X1, X2 ≥ 0 X2 A 70 67 66.67 optimal point constraint 2 B (5, 60) 35 Feasible Area с 47.5 50 objective function constraint 1 What is the upper limit of the first coefficient of the objective function (c₁)? X₁
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