Hotelling's Model Has Been Used to Describe Differentiation in the Political

Hotelling's model has been used to describe differentiation in the political "market".Suppose that 100 voters are evenly arrayed between the extreme left and the extreme right on the political spectrum,and that all voters vote,and they always vote for the candidate closest to them on this spectrum.The numbers on this spectrum represent the number of voters lying to the left of the number.So,at the midpoint,fifty voters lie to the left and fifty to the right.At the extreme right end,all 100 voters lie to the left.
Refer to the information given above.Suppose Candidate X is running against Candidate Y.If Candidate Z enters the race:

A) approximately half of the voters who were going to vote for X will now vote for Z.
B) X will certainly win because Y and Z compete for the same voters.
C) all of the voters who were going to vote for Y will now vote for Z.
D) most of the voters who were going to vote for Y will now vote for Z.