Solve the problem.The owners of a large factory complex plan to install a new network of water lines to supply water to five factory buildings. The building numbers of the buildings involved are: #12, #14, #15, #17, and #18. The distances in meters between these buildings are given in the following table.a) Represent this information with a weighted, complete graph.b) Use Kruskal's algorithm to find a minimum-cost spanning tree that would link each building to give the least-expensive pipe network.c) If the water line cost is $1000 per meter, determine the cost of the network in part (b).

What will be an ideal response?


a) 
 
b) 

?
c) ($1000/m)(1090 m) = $1,090,000

Mathematics

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