Use a weighted score model to choose between three methods $($A$,$ B$,$ C$)$ of financing the acquisition of a major competitor. The relative weights for each criterion are shown in the following table as are the scores for each location on each criterion. A score of $1$ represents unfavorable, $2$ satisfactory, and $3$ favorable.

Method

Category

Weight

A

B

C

Consulting costs

$20$

$1$

$2$

$3$

Acquisition time

$20$

$2$

$3$

$1$

Disruption

$10$

$2$

$1$

$3$

Cultural differences

$10$

$3$

$3$

$2$

Skill redundancies

$10$

$2$

$1$

$1$

Implementation risks

$25$

$1$

$2$

$3$

Infrastructure

$10$

$2$

$2$

$2$

a$)$ Which method has the highest score?

$($Write A$,$ B or C$)$

b$)$ What is that method's score?

c$)$ What financing method would your recommendation be if the weight for the implementation risks went down to $10$ and the weight of cultural differences went up to $25?$

$($A$,$ B or C$)$

d$)$ What is the score of this method?

e$)$ The vice president of finance has looked at your original scoring model $($reset all scores to the initial scores from part A$)$ and feels that tax considerations should be included in the model with a weight of $15.$ In addition, the VP has scored the methods on tax considerations as follows: method A received a score of $3,$ method B received a score of $2,$ and method C received a score of $1.$ What methods are now equally preferred? Write only the letters, no spaces.

f$)$ What is the updated score?