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: L1 1 P A Criterion LPA 4 1 Criterion 5 1 1 Leadership Personal Candidate 1 Jacobs 3 Martin Jacobs O Martin Administrative 0.316 0.102 0.582 Jacobs Martin Jacobs Martin Which candidate is preferred? ✔ Leadership ✔ Jacobs Martin (a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.) Priority 1 1 5 1 Jacobs Leadership Priority Martin 0. x See the rounding prompt for how many decimal places are needed. x See the rounding prompt for how many decimal places are needed. Personal Jacobs (b) Determine an overall priority for each candidate. (Round your answers to three decimal places.) x X 1 2 Martin 11/2/201 1 Personal Priority x x Jacobs Martin x Administrative X Jacobs Administrative Priority 1 33 Martin 4 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
4
5
P A
Jacobs
O Martin
1
4
1
Criterion
1
Leadership
Jacobs
Martin
Personal
Candidate
1
5
3
1
Administrative 0.316
0.102
0.582
Jacobs
Martin
Leadership
Jacobs
1
//
Martin
(a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.)
Priority
5
1
Jacobs
Leadership Priority
Martin
0.
x
See the rounding prompt for how many decimal places are needed.
X
See the rounding prompt for how many decimal places are needed.
Personal
Jacobs
(b) Determine an overall priority for each candidate. (Round your answers to three decimal places.)
Jacobs
X
X
Martin
Which candidate is preferred?
1
2
Martin
1
Personal Priority
X
X
Jacobs
Martin
X
Administrative
X
Jacobs Martin
Administrative Priority
1
13
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 4 5 P A Jacobs O Martin 1 4 1 Criterion 1 Leadership Jacobs Martin Personal Candidate 1 5 3 1 Administrative 0.316 0.102 0.582 Jacobs Martin Leadership Jacobs 1 // Martin (a) Compute the priorities for each pairwise comparison matrix. (Round your answers to three decimal places.) Priority 5 1 Jacobs Leadership Priority Martin 0. x See the rounding prompt for how many decimal places are needed. X See the rounding prompt for how many decimal places are needed. Personal Jacobs (b) Determine an overall priority for each candidate. (Round your answers to three decimal places.) Jacobs X X Martin Which candidate is preferred? 1 2 Martin 1 Personal Priority X X Jacobs Martin X Administrative X Jacobs Martin Administrative Priority 1 13 4 1
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