A person is trying to decide which SUV to purchase. You recommended using AHP to help with the

A person is trying to decide which SUV to purchase. You recommended using AHP to help with the decision-making process. After an initial interview you have determined that the four criteria the person will base the decision on are: cost, miles per gallon (MPG), horse power (HP), and manufacturer. The following table presents the 4 criteria along with 4 alternatives.This table is just for reference; you will not need it in this exercise.

Criteria

Alternatives

Cost

Miles per gallon (MPG)

Horse Power (HP)

Manufacturer

Grand Cherokee

$34,635.00

22

210

Jeep

Explorer

$25,999.00

20

292

Ford

4-runner

$27,635.00

21

260

Toyota

Tucson

$16,995.00

24

173

Hyundai

Upon doing the pairwise comparisons, the person said the following:

· Prefers cost over MPG with a strength of 2.

· Prefers cost over HP with a strength of 7.

· Prefers manufacturer over cost with a strength of 3.

· Prefers MPG over HP with a strength of 2.

· Prefers manufacturer over MPG with a strength of 5.

· Prefers manufacturer over HP with a strength of 7.

a) (4 points) Using the results from the pairwise comparisons, create the A matrix for the criteria.

b) (7 points) Calculate ANorm and wT.

c) (7 points) Perform the consistency check on the A matrix. Was the person consistent?