FIGURE 13.6 The Wyndor Glass Co. example with the original feasible region but with the nonlinear objective function Z=126x19x+182x2 - 13x replacing the original objective function. X2 A Maximize Z=126x19x+182x2 - 13x2, 6 subject to x1 4 2x2 12 3x+2x2 18 5 and x -Z = 907 -Z = 857 Feasible 3 -Z = 807 region 0 2 4 x1 (b) Now suppose that this problem is to be solved by the modified simplex method. Formulate the linear programming problem that is to be addressed explicitly, and then identify the additional complementarity constraint that is enforced auto- matically by the algorithm.

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Additionally, apply the modified simplex method to the problem as formulated in part (b).

 

What is the formulation plugged into simplex tableau to obtain optimal solution

FIGURE 13.6
The Wyndor Glass Co.
example with the original
feasible region but with the
nonlinear objective function
Z=126x19x+182x2 -
13x replacing the original
objective function.
X2 A
Maximize
Z=126x19x+182x2 - 13x2,
6
subject to
x1
4
2x2 12
3x+2x2
18
5
and
x
-Z = 907
-Z = 857
Feasible
3
-Z = 807
region
0
2
4
x1
Transcribed Image Text:FIGURE 13.6 The Wyndor Glass Co. example with the original feasible region but with the nonlinear objective function Z=126x19x+182x2 - 13x replacing the original objective function. X2 A Maximize Z=126x19x+182x2 - 13x2, 6 subject to x1 4 2x2 12 3x+2x2 18 5 and x -Z = 907 -Z = 857 Feasible 3 -Z = 807 region 0 2 4 x1
(b) Now suppose that this problem is to be solved by the
modified simplex method. Formulate the linear programming
problem that is to be addressed explicitly, and then identify the
additional complementarity constraint that is enforced auto-
matically by the algorithm.
Transcribed Image Text:(b) Now suppose that this problem is to be solved by the modified simplex method. Formulate the linear programming problem that is to be addressed explicitly, and then identify the additional complementarity constraint that is enforced auto- matically by the algorithm.
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