Question

The vice president of Harling Equipment needs to select a new director of marketing. The two possible candidates are Bill Jacobs and Sue Martin, and the criteria thought to be most relevant in the selection are leadership ability (L), personal skills (P), and administrative skills (A). The following pairwise comparison matrices were obtained: Criterion PA Leadership Jacobs Martin P 2 1 Jacobs PN- 5 Martin HIN Personal Administrative Jacobs Martin Jacobs Martin Jacobs Jacobs Martin Martin

Answer 1

Sol matrix with From a painoise comparison motores Values of elements from dat of Criterion. [ 0.5 0.27 A 2 | 3 15 0.33 1 Add each element of the column of above matrix. Sum = [8.1.83 4.27 Divide each element of the pairwise Comparison matrix with sum of its column to have a nemalized relative weight. To 0.5/1.83 0.2/4.27 A = 1218 111.83 3/4.2 [518 0.33/1.83 1/4.2 / calculate the normalized principal siger Vector by taking averages of the rows

g+ pon + med + 933 + 42 (0.1486 0.5035 Lo.3478 This normalized pricipal eigen vector obtained is also known as the priority vector I calculate principal cigen value by addition of poroceduwe products b/w each element of eigen vector and sum of Columns of preciprocal matriz 0:1486X8+ 0.5035x 1.83+ 0.3478% ma 42.

"max =3.5709 calculate consistency index with n=3 CI - 7 mox-n n- 3.5709-3 3-1 [CI= 0.28545) Random Consistency indea for no 3 is RI=0.58 calculate consistency ratio CR = 0.28545 0.58 (CI = 0.49915

Write leadership comparisos matrix LT27 10.5 1 Add Each element of the column of above matrix. sum = [1.5 3 ] Divide each element of the pairwise Comparison matrix with sum of its column to have a normalized relative weight L = 1/5 2/3 7 Los/1.5 1/3 calculate the normalized principal eigen Vector by taking averages of the rows We = 13 [11.5+2/3 WL 2 20.5%.5+1/3 0.666 0.333

Write personal Comparison matrix im Then sum=(u 1:33]. Sömillarly 114 0.33/1.33 .314 1/1:33 wp +0:337 P21 47.33 tu + 1.33 write administrative Comparison matrix. | 5 - [o ] A = 0.2 1.

Then, sum = [1.& 6] Simillarly n. (11.2 516 Α- 10./12 1/6 Then WA 10.833 lo. 166 Hence, the above results can be written as Candidate Leod priority personal Administra priority five prior Jacob 0.666 0.249 0.833 Martin 0.333 0.751 0.166

- The overall Priority for Jacob is Overal priority (0:1486 x 0.666) + (0.5035% 024 + (0.3478 x 0-833) loveral priority = 0.5140565) The overall priority for Martin is, overal priority - (0.1486X0-333)+(0:5035x0.751) +(0.347880 166) loveral priority = 0.485367) = 0.485347) So, Jacob is preberred.

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