Exercise 5.6. Consider the standard-form problem of minimizing c"r subject to Ar = b, x > 0, with 1 1 1 -1 -3 (:) 1 A = b = and c= -2 (a) Use any method of your choice to find a vertex for this constraint set. (b) Is the vertex optimal? Explain why or why not.

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Exercise 5.6. Consider the standard-form problem of minimizing c"r subject to Ar = b,
x > 0, with
4-(: ). -(4)
1
1
1
A =
b =
and c=
1 -1 -3
2
-2
(a) Use any method of your choice to find a vertex for this constraint set.
(b) Is the vertex optimal? Explain why or why not.
Transcribed Image Text:Exercise 5.6. Consider the standard-form problem of minimizing c"r subject to Ar = b, x > 0, with 4-(: ). -(4) 1 1 1 A = b = and c= 1 -1 -3 2 -2 (a) Use any method of your choice to find a vertex for this constraint set. (b) Is the vertex optimal? Explain why or why not.
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