Question: If two linear programs (LPs) have the same bounded feasible region, but one has objective function f1(x) = max-x1 2x2 - 4x3 and the other

If two linear programs (LPs) have the same

If two linear programs (LPs) have the same bounded feasible region, but one has objective function f1(x) = max-x1 2x2 - 4x3 and the other has objective function f2(x) = min 2x1 + 4x2 + 8x3, then their respective unique optimal solutions (xi) and (x2)* are guaranteed to be the same. True/False? Why

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