A management student received fellowship offers from four universities and now must

Chapter 6, Problem 15

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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.

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