2. Consider the following LP: Maximize z = SOXl + 30X2 + lOx3 (a) Write the dual....

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2. Consider the following LP:

Maximize z = SOXl + 30X2 + lOx3

(a) Write the dual.

(b) Show by inspection that the primal is infeasible.

(c) Show that the dual in

(a) is unbounded.

(d) From Problems 1 and 2, develop a general conclusion regarding the relationship between infeasibility and unboundedness in the primal and dual problems.

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