Question

Question 03 You are trying to determine which MBA program to attend. You have been accepted at two schools: Indi- ana and Northwestern. You have chosen three attrib- utes to use in helping you make your decision: cost, starting salary for graduates, and ambience of school (can we party there?). Your pairwise comparison matrix for these attributes is shown in the file P09 29.xIsx. For each attribute, the pairwise comparison matrix for Indiana and Northwestern is also shown in this file Which MBA program should you attend? Selecting an MBA program Pairwise comparisons among objectives Cost Normalized matrix Weights ost Salary Ambience Salary Pairwise comparisons among professors on teaching Normalized matrix Scores Indiana NW Indiana NW Pairwise comparisons among professors on research Normalized matrix Scores Indiana NW Indiana NW Pairwise comparisons among professors on service Normalized matrix Scores Indiana NW Indiana NW Determining best school Matrix of scores Overall scores Cost Salary Ambience Indiana NW The three attributes which are important for choosing a MBA program are given below 1. Cost 2. Starting Salary . Ambience of school The pairwise comparison matrix is given as, Cost Starting Salary Ambience Cost Starting The pairwise comparison matrices for Indiana and Northwestem are given below For Cost: For starting salary: Indiana For ambience Indiana 4 Northwestern Let, Now, follow the below procedure to mormalize matrix A For each of As column, divide cach entry in column i by the sum of entries in column 1+4+ 1 2+7 2+7+1 1+4+ 0.18 0.179 0.2 0,73 0,718 0.7 0.09 0.103 0.1 Now, find the weights w ofmatrix 18+0.179+02 0.186 .73 0.718 0. 0.716 09 0.103 Le us consider cost matrix as, Now, normalize matris C 6+1 0857 0857 143 0.143 Let us consider starting salary matri as Now, nomalize matrix S 1+3 25 0.25 0.75 0.75 Let us consider ambience matrix as, AM- Now, normalize matrix AM 14 08 08 02 02 corel 0.857(0.186)+02(0716)+08(0098) 0417 Then calculate the score of Northwestern Soore2-0.143(0.186)+0.75(0716)+0.2(0.098) 0.583 would be better to choose Northwestern MBA program

Answer 1

The pairwise comparison matrix is given as, Cost Starting Salary Ambience Cost Starting Salary4 Ambience 4

The pairwise comparison matrices for Indiana and Northwestern are given below. For Cost: Indiana Northwestern Indiana Northwesterm

For starting salary: Indiana Northwestern Indiana Northwestern3

271 14-17 1412

Now, follow the below procedure to normalize matrix A. For each of A's column, divide each entry in column i by the sum of entries in column i. 4 1+4+ +1+1 2+7+1 0.18 0.179 0.2 ー0.73 0.718 0.7 0.09 0.103 0.1

Now, find the weights w of matrix A 0.18+0.179+0.2 0.186 0.73+0.718+0.7 0.716 0.09+0.103+0.1 0.098 Let us consider cost matrix as Now, normalize matrix C 1 6+1 6 1 6+1 0.857 0.857 0.143 0.143

Let us consider starting salary matrix as, s-I 3 Now, normalize matrix S +3 1 +1 1+3 1 0.25 0.25 0.75 0.75

Let us consider ambience matrix as, AM = Now, normalize matrix AM 1 4+1 1+ AM - 4 0.8 0.8 0.2 0.2

Now calculate the score of Indiana Scorel 0.857(0.186)+0.25(0.716)+0.8(0.098) -0.417

It would be better to choose Northwestern MBA program.