Recall that during the $2013-2014$ academic year, the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities. A committee of community members was formed to explore various options for a bond proposal to pay for the plan$.$ The committee presented three options to the board of trustees.

Plan Estimated Minimum Cost Major Features

Plan A $$132$ million Build one new school

Renovate two old schools

Plan B $$168$ million Build two new schools

Close all old schools

Plan C $$127$ million Build one new school

Renovate one old school

The board of trustees needed to decide on which plan to put on the ballot in the bond election. Suppose that the board members ranked their choices, with the results shown in the preference schedule below.

$4$ votes $4$ votes $1$ vote

$1$st Choice A B C

$2$nd Choice B C B

$3$rd Choice C A A

Part A: Using the Borda Count method, how many total points were distributed?

Answer:

Part B: How many points did each option receive?

Plan A: points

Plan B: points

Plan C: points

Part C: Which plan was the winner?

Plan A

Plan B

Plan C

Not enough information to determine the winner.