4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X2 - 4x, s 80 -3x, + X2 + 2x, s 100 (no nonnegativity constraints). (a) Reformulate this problem so that all variables have nonnega- tivity constraints. D.I (b) Work through the simplex method step by step to solve the problem. c (c) Use a computer package based on the simplex method to solve the problem.

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(b) (c)

4.6-14. Consider the following problem.
Maximize
Z = -x, + 2x2 + X3,
subject to
3x2 + X, s 120
X1 - x, - 4x, s 80
-3x, + X2 + 2x, s 100
(no nonnegativity constraints).
(a) Reformulate this problem so that all variables have nonnega-
tivity constraints.
D.I (b) Work through the simplex method step by step to solve the
problem.
c (c) Use a computer package based on the simplex method to
solve the problem.
Transcribed Image Text:4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X, s 120 X1 - x, - 4x, s 80 -3x, + X2 + 2x, s 100 (no nonnegativity constraints). (a) Reformulate this problem so that all variables have nonnega- tivity constraints. D.I (b) Work through the simplex method step by step to solve the problem. c (c) Use a computer package based on the simplex method to solve the problem.
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