Given is a LP model. Max Z = 4 x + 5 y s.t. x + 3 y ≤ 22 − x + y ≤ 4 y ≤ 6 2 x − 5 y ≤ 0 x ≥ 0, y ≥ 0 Plot all constraint equations on the same graph. Shade the Feasible region. Label the corner points of the Feasible region. Solve for decision variables x and y. Solve for Z.
Given is a LP model. Max Z = 4 x + 5 y s.t. x + 3 y ≤ 22 − x + y ≤ 4 y ≤ 6 2 x − 5 y ≤ 0 x ≥ 0, y ≥ 0 Plot all constraint equations on the same graph. Shade the Feasible region. Label the corner points of the Feasible region. Solve for decision variables x and y. Solve for Z.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Given is a LP model.
Max
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Z = 4 x + 5 y
|
|
|
s.t.
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x + 3 y ≤ 22
|
|
− x + y ≤ 4
|
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y ≤ 6
|
|
2 x − 5 y ≤ 0
|
|
x ≥ 0, y ≥ 0
|
- Plot all constraint equations on the same graph.
- Shade the Feasible region.
- Label the corner points of the Feasible region.
- Solve for decision variables x and y.
- Solve for Z.
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