Question

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3) The president of Pegasus Corporation is trying to decide which of three candidates (denoted as candidates A, B, and C) to hire as the firm's new vice president of marketing. The primary criteria the president is considering are each candidate's leadership ability, interpersonal skills, and administrative ability. After carefully considering their qualifications, the president used AHP to create the following pairwise comparison matrices for the three candidates on the various criteria: (42p.) Leadership Ability C A 1 1/3 1/4 4 1 1/2 2 1 Interpersonal skills Values of RI for use in AHP B RI (Random Index) A 1/2 1 1/8 3 2 8 2 0.00 1/3 1 0.58 Administrative Ability 0.90 A 5 1.12 1/5 A 1/8 1/3 1 5 1 8 3 Next, the president of Pegasus considered the relative importance of the three criteria. This resulted in the following pairwise comparison matrix: Criteria Leadership Ability Interpersonal Skills Administrative Ability Leadership Ability Interpersonal Skills Administrative Ability 1 1/3 1/4 3 1 1/2 2 1 a) Use AHP to compute scores for each candidate on each of the three criteria and to compute weights for each of the criteria. b) Was the president consistent in making pairwise comparisons? (Check only for Leadership Ab.) c) Compute the weighted average score for each candidate. Which candidate should be selected according to your results? en t u CN BC BC ABC

Answer 1

Leadership	A	B	C	Priorities		Interper	A	B	C			Admin	A	B	C
A	1.00	3.00	4.00	0.63		A	1.00	0.50	3.00	0.29		A	1.00	0.20	0.13	0.07
B	0.33	1.00	2.00	0.24		B	2.00	1.00	8.00	0.63		B	5.00	1.00	0.33	0.27
C	0.25	0.50	1.00	0.14		C	0.33	0.13	1.00	0.09		C	8.00	3.00	1.00	0.66
				1.00						1.00						1.00
				CR=1.9%
	Leader	Interp	Admin	Priorities
Leader	1.00	0.33	0.25	0.12
Interp	3.00	1.00	0.50	0.32
Admin	4.00	2.00	1.00	0.56
				1.00
	Priority	Alternative	A	B	C
Leader	0.12	A	0.63	0.12	0.075
		B	0.24	0.12	0.029
		C	0.14	0.12	0.016
					0.120
Interp	0.32	A	0.29	0.32	0.091
		B	0.63	0.32	0.201
		C	0.09	0.32	0.028
					0.320
Admin	0.56	A	0.07	0.56	0.037
		B	0.27	0.56	0.152
		C	0.66	0.56	0.369
					0.558
Key: Column A shows the priority of this Alternative with respect to this Criterion. Column B shows the priority of this Criterion with respect to the Goal. Column C shows the product of the two, which is the global priority of this Alternative with respect to the Goal
		Priority wrt
	Leader	Interp	Admin
A	0.08	0.09	0.04	0.20
B	0.03	0.20	0.15	0.38	b IS THE BEST CANDIDATE
C	0.02	0.03	0.37	0.41
				1.00