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# A management student received fellowship offers from four universities and now must ISBN: 9780321962218 437

## Solution for problem 15 Chapter 6.8

Linear Algebra with Applications | 9th Edition

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Problem 15

A management student received fellowship offers from four universities and now must choose which one to accept. The student uses the analytic hierarchy process to decide among the universities and bases the decision process on the following four criteria: (i) financial matterstuition and scholarships (ii) the reputation of the university (iii) social life at the university (iv) geographyhow desirable is the location of the university In order to weigh the criteria the student decides that finance and reputation are equally important and both are 4 times as important as social life and 6 times as important as geography. The student also rates social life twice as important as geography. (a) Determine a reciprocal comparison matrix C based on the given judgments of the relative importance of the 4 criteria. (b) Show that the matrix C is not consistent. (c) Make the problem consistent by changing the relative importance of one pair of criteria and determine a new comparison matrix C1 for the consistent problem. (d) Find an eigenvector belonging to the dominant eigenvalue of C1 and use it to determine a weight vector for the decision criteria.

Step-by-Step Solution:
Step 1 of 3

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##### ISBN: 9780321962218

Since the solution to 15 from 6.8 chapter was answered, more than 215 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 935 solutions. Linear Algebra with Applications was written by and is associated to the ISBN: 9780321962218. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 9. The answer to “A management student received fellowship offers from four universities and now must choose which one to accept. The student uses the analytic hierarchy process to decide among the universities and bases the decision process on the following four criteria: (i) financial matterstuition and scholarships (ii) the reputation of the university (iii) social life at the university (iv) geographyhow desirable is the location of the university In order to weigh the criteria the student decides that finance and reputation are equally important and both are 4 times as important as social life and 6 times as important as geography. The student also rates social life twice as important as geography. (a) Determine a reciprocal comparison matrix C based on the given judgments of the relative importance of the 4 criteria. (b) Show that the matrix C is not consistent. (c) Make the problem consistent by changing the relative importance of one pair of criteria and determine a new comparison matrix C1 for the consistent problem. (d) Find an eigenvector belonging to the dominant eigenvalue of C1 and use it to determine a weight vector for the decision criteria.” is broken down into a number of easy to follow steps, and 187 words. The full step-by-step solution to problem: 15 from chapter: 6.8 was answered by , our top Math solution expert on 03/15/18, 05:26PM.

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