Chapter 14.1, Problem 37E

Choosing a Contractor The board of directors of Precision Optics is holding an election to decide which contractor should be hired to build an expansion to its corporate headquarters. The 15 members of Precision Optics’s board of directors are considering a proposal from each of the following contractors. Becker(B), DiMarco(D), LaChase(L) and Merendez(M). The members rank the four choices according to the preference table below.

Number of Votes	5	4	2	1
First	B	B	L	D
Second	L	D	L	D
Third	L	D	B	B
Fourth	M	L	M	L

a. Determine which contractor is selected using the plurality method.

b. Determine which contractor is selected using the Borda count method.

c. Determine which contractor is selected using the plurality with elimination method.

d. Determine which contractor is selected using the pairwise comparison method.