Example Problem No. 2 (1 of 3) Solve the following model graphically: Maximize Z = 4x₁ + 5x₂ subject to: x₁ + 2x₂ ≤ 10 X1 6x₁ + 6x₂ ≤ 36 X₁ ≤ 4 X1, X₂ ≥ 0 Step 1: Plot the constraints as equations X₂ 10 8 6 4 2 0 2 The feasible region is above the line 6x1+6x2=36. The feasible region is below the line 6x1+6x2=36. The feasible region is to the right of x1=4. |x₁ = 4 -6x, + 6x₂ = 36 X₁ + 2x₂ = 10 4 6 8 10 X₁ Figure 2.23 Constraint Equations 2-46

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Example Problem No. 2 (1 of 3)
Solve the following model
graphically:
Maximize Z = 4x₁ + 5x₂
subject to: x₁ + 2x₂ ≤ 10
6x₁ + 6x₂ ≤ 36
x₁ ≤ 4
X1, X₂ ≥ 0
Step 1: Plot the constraints
as equations
X₂
10
8
6
4
2
0
2
The feasible region is above the line 6x1+6x2=36.
The feasible region is below the line 6x1+6x2=36.
The feasible region is to the right of x1=4.
|x₁ = 4
- 6x₁ + 6x₂ = 36
X₁ + 2x₂ = 10
4 6 8 10 X₁
Figure 2.23 Constraint Equations
2-46
Transcribed Image Text:Example Problem No. 2 (1 of 3) Solve the following model graphically: Maximize Z = 4x₁ + 5x₂ subject to: x₁ + 2x₂ ≤ 10 6x₁ + 6x₂ ≤ 36 x₁ ≤ 4 X1, X₂ ≥ 0 Step 1: Plot the constraints as equations X₂ 10 8 6 4 2 0 2 The feasible region is above the line 6x1+6x2=36. The feasible region is below the line 6x1+6x2=36. The feasible region is to the right of x1=4. |x₁ = 4 - 6x₁ + 6x₂ = 36 X₁ + 2x₂ = 10 4 6 8 10 X₁ Figure 2.23 Constraint Equations 2-46
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