Everything is fine except the last assertion about the max spanning tree. The maximum spanning tree will be kind of a star tree in which we keep the root with the maximum value attached to all the other nodes. Hence, the weight of the max spanning tree would be the sum of all nodes (except the highest value node) + (n - 1) * (the highest value of a node).
@admin thanks for the answer. But can you help me in stating why it is in star form? I don’t have that much experience. Can you tell me theory to look for or something like that?