Consider the following linear programming problem. Maximize P = 4x + 5y + 6z subject to the constraints 2x + 3y + z < 900 3x + y + z < 350 4x + 2y + z S 400 x 2 0, y 2 0, z 2 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to < 900 < 350 < 400 x 2 0 y 2 0 z20 (b) Write the initial simplex tableau. y z w u v P Constant 900 350 400
Consider the following linear programming problem. Maximize P = 4x + 5y + 6z subject to the constraints 2x + 3y + z < 900 3x + y + z < 350 4x + 2y + z S 400 x 2 0, y 2 0, z 2 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to < 900 < 350 < 400 x 2 0 y 2 0 z20 (b) Write the initial simplex tableau. y z w u v P Constant 900 350 400
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 7CQ
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![Consider the following linear programming problem.
Maximize P = 4x + 5y + 6z subject to the constraints
2x + 3y + zs 900
3х +
y + z s 350
4x + 2y + z s 400
x 2 0, y 2 0, z 2 0.
(a) Write the linear programming problem as a standard maximization problem.
Maximize
P =
subject to
< 900
< 350
< 400
y 2 0
z 2 0
(b) Write the initial simplex tableau.
y z
w u
Constant
900
350
400
P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a77b852-bfb0-4af4-b9b0-b75ac94cf1d3%2F4150de88-4d43-412c-a5f1-9b663a36a781%2Fqsgk1i_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following linear programming problem.
Maximize P = 4x + 5y + 6z subject to the constraints
2x + 3y + zs 900
3х +
y + z s 350
4x + 2y + z s 400
x 2 0, y 2 0, z 2 0.
(a) Write the linear programming problem as a standard maximization problem.
Maximize
P =
subject to
< 900
< 350
< 400
y 2 0
z 2 0
(b) Write the initial simplex tableau.
y z
w u
Constant
900
350
400
P.
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