Question

7. DETAILS ASWMSCI15 14.E.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 L PA Leadership Personal Administrative 1 3 Jacobs Martin Jacobs Martin Jacobs L11 2 P2 1 Martin 4 Jacobs 1 5 Jacobs 1 Jacobs 1 1 3 4 A3 1 4 1 Martin 1 5 1 1 Martin Martin 1 3 1 4 (a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.) Criterion Priority Leadership 0.172 Personal 0.552 Administrative 0.277 Candidate Leadership Priority Personal Priority Administrative Priority Jacobs Martin (b) Determine an overall priority for each candidate. (Round your answers to three decimal places.) Jacobs Martin Which candidate is preferred? O Jacobs O Martin

Answer 1

Answer:

Please refer the image for the solutions

Date Page Leadership Jacob Martin 5 15 - Jacob 1 rows 6 Sum / 1.20 Personal dacob, Martin Divide each element 10.830 83 averose 0.833 in matrix by 10.160.16 of 0.167. respecture sum of column Leadership priority Jacobs >0.833 Martin .0.167 (Answer Divide each element 0.25 0.25 Average 0.25 in matrex by of 0.75 0.25 rows 0.75 respecture sum of Column 0.33 dacob Martin که 4 Sum 1:33 Personal priority La docons → 0.250 Martin → 0.750 (Answer Administrative dacobs Martin 0.25 6.2o.2 - Aug. of → 0.2 0.8 4 Divide eech element in matrix by respectere sum of columns dacobs Marten! Sum 0.8108 Towy 1.25 -> 020 0.80 Administrative prority dacobs La) Mertin (Answer) (6) Overall priority dacobs: (0.172x0.833)+ (0.552% 0.250)+(0:277X0-2) dacobs = 0.337 Am Masten : (0.172x0.167)+(0.552x0.750)+C0.277x08) Marten 0.664 Can Answen Marten is preffered since, 0.664 0.337