Question
Kathy Jones is planning to buy a new minivan, but after narrowing her choices down to three models (X, Y, and Z) within her price
Kathy Jones is planning to buy a new minivan, but after narrowing her choices
down to three models (X, Y, and Z) within her price range, she is having difficulty deciding which one to buy. Kathy has compared each model against the others on the basis of four criteria: price, safety, economy, and comfort. Her comparisons are summarized as:
Price Safety
XYZ XYZ
X 1 1/4 3 X 1 1/2 3 Y417Y218 Z 1/3 1/7 1 Z 1/3 1/8 1
Economy Comfort XYZ XYZ
X 1 1/3 1/6 X 1 1/4 1/8 Y 3 1 1/3 Y 4 1 1/3 Z631Z831
Kathy wants to incorporate all of these criteria into her final decision, but not all of the criteria are equally important. The following matrix summarizes Kathy's com- parisons of the importance of the criteria:
Criteria Price Safety Economy Comfort
Price 1 1/7 1/2 1/5 Safety 7 1 4 2 Economy 2 1/4 1 1/2 Comfort 5 1/2 2 1
- Use AHP to compute scores for each minivan on each of the four criteria and to compute weights for each of the criteria.
- Was Kathy consistent in making pairwise comparisons?
- Compute the weighted average score for each minivan. Based on this analysis,
which minivan should Kathy buy?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started