Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).
Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 56 2x + y z ≤ 28 -x + y + z ≤ 56 x ≥ 0, y ≥ 0, z 20 The maximum is P = 140 - at (x, y, z) = 28, 42, 84 x ).
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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Subject : - Advanced Math
![Solve the linear programming problem by the simplex method.
Maximize
P = x + 4y - 2z
subject to
3x + y
z ≤ 56
2x + y
z ≤ 28
-x + y + z ≤ 56
x ≥ 0, y ≥ 0, z 20
The maximum is P = 140
-
at (x, y, z)
=
28, 42, 84
x
).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7b6ce77-7d1f-42c7-90fc-6e082dc1db1b%2F3f694a7d-8db1-4f92-bbc2-1874813056e2%2F0ronf2f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the linear programming problem by the simplex method.
Maximize
P = x + 4y - 2z
subject to
3x + y
z ≤ 56
2x + y
z ≤ 28
-x + y + z ≤ 56
x ≥ 0, y ≥ 0, z 20
The maximum is P = 140
-
at (x, y, z)
=
28, 42, 84
x
).
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