Question: Problem 1 (25 points) Let G be the weighted graph drawn below: (i)Compute a spanning tree of G with minimal cost (note: there may well

Problem 1 (25 points) Let G be the weighted graph drawn

Problem 1 (25 points) Let G be the weighted graph drawn below: (i)Compute a spanning tree of G with minimal cost (note: there may well be several such trees). What is the cost of this tree? (ii)Compute a spanning tree of G with MAXIMAL cost, and justify why the cost is maximal. (HINT: Kruskal's Algorithm can be directly used here! The thing you need to justify is why you can just replace "least" with "largest" at every step.)

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