A woman considering the purchase of a custom sound stereo system for her car looked at three different systems (A, B, and C), which varied in terms of price, sound quality, and FM reception. The following pairwise comparison matrixes were developed:
|
Criterion
|
|
Price
|
|
|
Price
|
Sound
|
Reception
|
|
A
|
B
|
C
|
|
Price
|
1
|
3
|
4
|
A
|
1
|
4
|
2
|
|
Sound
|
¹⁄3
|
1
|
3
|
B
|
¹⁄4
|
1
|
¹⁄3
|
|
Reception
|
¹⁄4
|
¹⁄3
|
1
|
C
|
¹⁄2
|
3
|
1
|
| A |
1
|
¹⁄2
|
¹⁄4 A 1 4 2
|
|
B C
|
2
4
|
1
3
|
¹⁄3
1
|
B
C
|
¹⁄4
¹⁄2
|
1
1
|
1
1
|
a. Compute the priorities for each pairwise comparison matrix.
b. Determine an overall priority for each system. Which stereo system is preferred?