Consider the following LP: 6x, + 4x2 4x, +x, s7 X, +x, 5 4 - X, + x, s 2 A. Maximize subject to X1,X2 2 0 1. The problem above has the origin as a feasible point. Use this to perform a simplex iteration. 2. Sketch the feasible set for your problem. Geometrically, where in the set is the feasible point that the simplex iteration updated to? 3. Perform a second iteration, if possible. Geometrically, what happened when you performed this update?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following LP:
6x, + 4x,
A. Maximize
subject to
4x, +x, s 7
X1 +x, 54
- X1 +x, s 2
1. The problem above has the origin as a feasible point. Use this to perform a simplex
iteration.
2. Sketch the feasible set for your problem. Geometrically, where in the set is the feasible
point that the simplex iteration updated to?
3. Perform a second iteration, if possible. Geometrically, what happened when you
performed this update?
Transcribed Image Text:Consider the following LP: 6x, + 4x, A. Maximize subject to 4x, +x, s 7 X1 +x, 54 - X1 +x, s 2 1. The problem above has the origin as a feasible point. Use this to perform a simplex iteration. 2. Sketch the feasible set for your problem. Geometrically, where in the set is the feasible point that the simplex iteration updated to? 3. Perform a second iteration, if possible. Geometrically, what happened when you performed this update?
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