You are trying to determine which city to live in. New York and Chicago are under consideration. Four objectives will determine your decision: affordability of housing, cultural opportunities, quality of schools and universities, and crime level. The weight for each objective is in Table.

Affordability of housing

.50

Cultural opportunities

.10

Quality of schools and universities

.20

Crime level

.20

For each objective (except for quality of schools and universities) New York and Chicago scores are as given in Table.

 

New York

Chicago

Affordability of housing

.30

.70

Cultural opportunities

.70

.30

Crime level

.40

.60

Suppose that the score for each city on the quality of schools and universities depends on two things: a score on public school quality and a score on university quality. The pairwise comparison matrix for public school and university quality is as follows:

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To see how each city scores on public school quality and university quality use the following pairwise comparison matrices. For public school quality:

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For university quality:

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You should now be able to come up with a score for each city on the quality of schools and universities objective. Now determine where you should live.