Solve the linear programming problem using the simplex method. P= 6x1 + 2x2 - X3 X1 + X2 - X3 55 2x1 + 4x2 + 3x3 s 15 X1, X2, X3 2 0 Maximize subject to

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 6E
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Solve the linear programming problem using the simplex method.
Maximize
P= 6x1 + 2x2 - X3
X1 +X2 - X3 55
2x1 + 4x2 + 3x3 s 15
subject to
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 P is
when x1 =
X2 =
and x3 =
(Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.)
O B. There is no optimal solution.
Transcribed Image Text:Solve the linear programming problem using the simplex method. Maximize P= 6x1 + 2x2 - X3 X1 +X2 - X3 55 2x1 + 4x2 + 3x3 s 15 subject to 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 P is when x1 = X2 = and x3 = (Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.) O B. There is no optimal solution.
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