Minimize subject to C = 18x₁ + 2x2 4x₁ + x₂ ≥17 3x₁ + x₂ 24 X₁, X₂ ≥0 a. Form the dual problem. Maximize subject to P= ☐Y₁ √√₁ + Y₁ + y₂ ≤ V₁, V₂²0 Y₁ +4Y2 | y2 = 18

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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Minimize
subject to
C = 18x₁ + 2x2
4x₁ + x₂ ≥17
3x₁ + x₂ ≥4
X1, X₂ ≥0
a. Form the dual problem.
Maximize
subject to
P =
y₁ +4Y2
Y₁ +
| 2
y₂ ≤ 18
Y₁ +
V1, V₂20
y₂ ≤
Transcribed Image Text:Minimize subject to C = 18x₁ + 2x2 4x₁ + x₂ ≥17 3x₁ + x₂ ≥4 X1, X₂ ≥0 a. Form the dual problem. Maximize subject to P = y₁ +4Y2 Y₁ + | 2 y₂ ≤ 18 Y₁ + V1, V₂20 y₂ ≤
b. Find the optimal solution of the minimization problem.
Minimum of C =
x₁ =
x2 =
Transcribed Image Text:b. Find the optimal solution of the minimization problem. Minimum of C = x₁ = x2 =
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