Complete parts (A) and (B) below for the minimization problem to the right. A. The minimum is C = at x₁ = and X₂ Minimize subject to (A) Form the dual problem. Maximize P = 14y₁ + 14y2 subject to 2y₁ + y₂ ≤4,y₁ + 2y₂ ≤25 and y₁, y₂ ≥ 0 (Simplify your answers. Type expressions using y₁ and y₂ as the variables. Use a comma to separate answers as needed.) (Simplify your answers.) OB. The optimal solution does not exist. C = 4x₁ + 25x₂ 14 (B) Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. = 2x₁ + x₂ = 1 + 2x₂ ² X₁ + > 14 0 > X₁, X₂ ²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Complete parts (A) and (B) below for the minimization problem to
the right.
A. The minimum is C =
at x₁
=
and X₂
Minimize
subject to
(A) Form the dual problem.
Maximize P = 14y₁ + 14y2 subject to 2y₁ + y₂ ≤4,y₁ + 2y₂ ≤25 and y₁, y₂ ≥ 0
(Simplify your answers. Type expressions using y₁ and y₂ as the variables. Use a comma to separate answers as needed.)
(Simplify your answers.)
OB. The optimal solution does not exist.
C = 4x₁ + 25x₂
14
(B) Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and, if necessary, fill in the answer
boxes within your choice.
=
2x₁ + x₂ =
1 + 2x₂ ²
X₁ +
> 14
0
>
X₁, X₂ ²
Transcribed Image Text:Complete parts (A) and (B) below for the minimization problem to the right. A. The minimum is C = at x₁ = and X₂ Minimize subject to (A) Form the dual problem. Maximize P = 14y₁ + 14y2 subject to 2y₁ + y₂ ≤4,y₁ + 2y₂ ≤25 and y₁, y₂ ≥ 0 (Simplify your answers. Type expressions using y₁ and y₂ as the variables. Use a comma to separate answers as needed.) (Simplify your answers.) OB. The optimal solution does not exist. C = 4x₁ + 25x₂ 14 (B) Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. = 2x₁ + x₂ = 1 + 2x₂ ² X₁ + > 14 0 > X₁, X₂ ²
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