Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 18y + 4z subject to the following. 3x  +  5y  +  4z  ≤  30 3x  +  2y      ≤  4 x  +  2y      ≤  8 (x, y, z) =         f =

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize
f = 7x + 18y + 4z
subject to the following.
3x  +  5y  +  4z  ≤  30
3x  +  2y      ≤  4
x  +  2y      ≤  8
(x, y, z)
=
 
 
 
 
f =
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