Tanaka Construction would like to determine the least expensive way of connecting houses it is building with cable TV. It has identified 11 possible branches or routes that could be used to connect the houses. The cost in hundreds of dollars and the branches are summarized in the following table.

(a) What is the least expensive way to run cable to the houses? 

(b) After reviewing cable and installation costs, Tanaka Construction would like to alter the costs for installing cable TV between its houses. The first branches need to be changed. The changes are summarized in the following table. What is the impact on total costs? 

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BRANCH Branch 1 Branch 2 Branch 3 Branch 4 Branch 5 Branch 6 Branch 7 Branch 8 Branch 9 Branch 10 Branch 11 START NODE 1 1 1 1 2 3 4 5 6 7 8 END NODE 2 3 4 5 6 7 7 8 7 9 9 COST ($100S) 5 6 6 5 7 5 7 4 1 6 2