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Linear Programming : Feasible Solution - Optimal Value of Zero?

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Consider a feasible solution y to the linear program
Min cx
St Ax = b
x > 0
Let Z = {i | yi = 0}. Show that y is an optimal solution if and only if the following linear program has an optimal objective value of zero:
Min cd
St Ad = 0
di > 0 for all i in Z

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Values are sought that allow for an optimal objective value of zero in this linear programming proof. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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Consider a feasible solution y to the linear program
Min cx
St Ax = b
x > 0
Let Z = {i | yi = 0}. Show that y is an optimal solution if and only if the following linear program has an optimal ...

Purchase this Solution


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