XYZ Construction is in the process of installing power lines to a large housing development. The manager wants to minimize the total length of wire used, which will minimize his costs. The housing development is shown as a network in Figure below. Each house has been numbered, and the distances between houses are given in hundreds of feet. What do you recommend?

$($a$)$ Describe the steps of the minimal$-$spanning tree technique.

$($b$)$ Design a network model using the minimal$-$spanning tree technique to determine the least expensive way to provide water to each facility.

Summarize your steps in a table showing the:

a$.$ Connected nodes b$.$ Unconnected nodes

c$.$ Closest unconnected node

d$.$ Arc Selected e$.$ Arc length f$.$ Total Distance

$1-$