The vice president of Harling Equipment needs to select a new director of marketing. The two possible candidates are Bill Jacobs and Nia 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: L A Criterion L P 3 1 Jacobs Martin P 1 2 1 M 3 1 Jacobs Martin Jacobs J Martin Criterion Leadership Personal A Administrative 1 2 5 Jacobs Martin 1 1 Administrative ||w|1 3 1 Jacobs Martin Leadership Jacobs Martin 1 1 2 2 1 Jacobs Candidate Leadership Priority Personal Priority Administrative Priority Martin (a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.) Priority Personal Jacobs Martin (b) Determine an overall priority for each candidate. (Round your answers to three decimal places.) Jacobs Martin Which candidate is preferred? 1 4 1 1

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The vice president of Harling Equipment needs to select a new director of marketing. The two possible candidates are Bill Jacobs
and Nia 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:
L
P
A
Criterion
L
1
3
2
Jacobs
Martin
P
1 1
3 2
1
5
1
5
Jacobs
Martin
Criterion
Jacobs
Leadership
Martin
A
Administrative
Personal
Jacobs Martin
1
1
1
Administrative
|0
3
3
1
Jacobs
Martin
Which candidate is preferred?
Jacobs
Martin
Leadership
Jacobs Martin
1
2
2
1
Candidate Leadership Priority Personal Priority Administrative Priority
Jacobs
(a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.)
Priority
Martin
(b) Determine an overall priority for each candidate. (Round your answers to three decimal places.)
Personal
Jacobs
1
4
Martin
1
4
1
Transcribed Image Text:The vice president of Harling Equipment needs to select a new director of marketing. The two possible candidates are Bill Jacobs and Nia 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: L P A Criterion L 1 3 2 Jacobs Martin P 1 1 3 2 1 5 1 5 Jacobs Martin Criterion Jacobs Leadership Martin A Administrative Personal Jacobs Martin 1 1 1 Administrative |0 3 3 1 Jacobs Martin Which candidate is preferred? Jacobs Martin Leadership Jacobs Martin 1 2 2 1 Candidate Leadership Priority Personal Priority Administrative Priority Jacobs (a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.) Priority Martin (b) Determine an overall priority for each candidate. (Round your answers to three decimal places.) Personal Jacobs 1 4 Martin 1 4 1
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