Solve the linear programming problem using the simplex method. Maximize subject to P=3x₁ + 2x₂ - X3 x₁ + x₂-x3 ≤5 2x₁ +4x2 + 3x3 ≤ 15 X1, X2, X3 20 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is | when x₁ = x₂ =, and x3 = (Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.) OB. There is no optimal solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the linear programming problem using the simplex method.
Maximize
subject to
P= 3x₁ + 2x₂ - X3
X₁ + X₂-X3 ≤5
2x₁ +4x2 + 3x3 ≤ 15
X1, X2, X3 20
Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The maximum value of Pis
when X₁ = x₂ =
and X3 =
(Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.)
OB. There is no optimal solution.
Transcribed Image Text:Solve the linear programming problem using the simplex method. Maximize subject to P= 3x₁ + 2x₂ - X3 X₁ + X₂-X3 ≤5 2x₁ +4x2 + 3x3 ≤ 15 X1, X2, X3 20 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of Pis when X₁ = x₂ = and X3 = (Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.) OB. There is no optimal solution.
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