a. Identify the feasible solution. b. Obtain the optimal solution.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 42P
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Question

a. Identify the feasible solution.

b. Obtain the optimal solution.

Solve the following linear programming problem graphically. Use the graph paper
given along with this paper.
Max. Z = 3x₂ + 7x₂
Subject to:
C1 X₁
20
30
8
2
0
0
X₂
0
Not? You can read approximate values of x₁ and x₂ in the graph.
C2
3 3 3 3
C3 X₁
C4
X₁
C5 X₁
321
៦ ទ ន ន ន ន ន ១ ២ 1 1 2
30
28
26
24
22
20
18
16
14
12
3X₁
10
8
6
4.
+
X₂
X₂
10
0
VỊ VỊ VỊ AN NI
2
>
X1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Transcribed Image Text:Solve the following linear programming problem graphically. Use the graph paper given along with this paper. Max. Z = 3x₂ + 7x₂ Subject to: C1 X₁ 20 30 8 2 0 0 X₂ 0 Not? You can read approximate values of x₁ and x₂ in the graph. C2 3 3 3 3 C3 X₁ C4 X₁ C5 X₁ 321 ៦ ទ ន ន ន ន ន ១ ២ 1 1 2 30 28 26 24 22 20 18 16 14 12 3X₁ 10 8 6 4. + X₂ X₂ 10 0 VỊ VỊ VỊ AN NI 2 > X1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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