While you can complete this assignment by hand, it would be much better to do this using either a

spreadsheet or simple Python script with the help of a matrix computation library like Numpy. The latter

technique will be covered in class.

$(1)$ Calculate the Consistency Index $($CI$)$ and Consistency Ratios $($CR$)$ of each comparison matrix.

Comment on the meanings of these numbers.

$(2)$ Calculate the final rankings of the $4$ cars using both the Geometric Mean method and the Eigen

method. Are the two rankings the same?

$(3)$ A typographical mistake in data entry results in the following criteria level comparison matrix

$($the red fonts highlight the mistake$).$ How does the ranking change? Is it possible to spot this

mistake BEFORE computing the ranking?

Goal Cost Safety Design Capacity Warranty

Cost $17/559/51/8$

Safety $5/719/57/55/4$

Design $1/55/913/73/4$

Capacity $5/95/77/317/9$

Warranty $84/54/39/71$