Minimize C=20x₁ + 2x₂ subject to 4x₁ + x₂ 221 3x₁ + x₂ 25 x1, x₂ 20 *** a. Form the dual problem. Maximize P= 21 y₁ +5y₂ subject to 4 y₁ + 3 y2 ≤20 Y₁ + 1 y₂ ≤ 2 Y1. Y220 b. Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice beld O Min C= at x₁ and x₂ = O The optimal solution does not exist.

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
C=20x₁ + 2x2
subject to
4x1 + x₂ ≥21
3x₁ + x2 25
x1, x₂ 20
C
a. Form the dual problem.
Maximize
P = 21 y₁ +5y₂
subject to
4 y₁ + 3 y₂ ≤20
Y₁+1 y₂ ≤ 2
Y₁, Y₂20
b. Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and fill in any answer boxes within your choice.
O Min C =
at x₁ =
and X₂ =
O The optimal solution does not exist.
Transcribed Image Text:Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ ≥21 3x₁ + x2 25 x1, x₂ 20 C a. Form the dual problem. Maximize P = 21 y₁ +5y₂ subject to 4 y₁ + 3 y₂ ≤20 Y₁+1 y₂ ≤ 2 Y₁, Y₂20 b. Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and fill in any answer boxes within your choice. O Min C = at x₁ = and X₂ = O The optimal solution does not exist.
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