2. In the standard MST problem, we want to minimize the sum of the edges in a spanning tree. Consider a different objective function where we want to minimize the weight of the most expensive edge in the spanning tree. (a) Will an optimal solution for the first objective function always be an optimal solution for the second objective function? Prove or give a counterexample. (b) Will an optimal solution for the second objective function always be an optimal solution for the first objective function? Prove or give a counterexample.

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A: HI THEREI AM ADDING ASNWER BELOWPLEASE GO THROUGH ITTHANK YOU

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