5a. (20 points) For 4 choices A, B, C, and D, a decision-maker has the following pair-wise comparison matrix and rankings of the confidence in their validity:

A B C D (1) B vs. D Highest

A 1 3 5 7 (2) A vs. D

B 1 1/3 1/5 (3) C vs. D

C 1 3 (4) A vs. C

D 1 (5) A vs. B

(6) B vs. C Lowest

Use the rankings as the basis to make the matrix totally consistent.

5b. (5 points) What are the largest eigenvalue and Consistency Index for the totally consistent matrix?

Note: 5 points will be deducted from each incorrect pairwise comparison above the diagonal. Thus, if you have 4 or more incorrect pairwise comparisons above the diagonal, you will have a 0 score, even if you answer 5b correctly.