Question

“Anyone who has never made a mistake has never tried anything new." “He who opens a school door, closes a prison.” “Keep away from people who try to belittle your ambitions. Small people always do that, but the really great make you feel that you, too, can become great.” For this section, solve manually and submit solutions A car buyer is evaluating four different car models based on Style. The pairwise comparison matrix for the four cars based on Style is given below: А B С D A 1 1/3 3 4 B 5 2 C 1 6 D 1 11 Using the above pairwise comparison matrix, one of the following is true: (1 Point) Car A is moderately preferred to Car B Car A and Car B are equally preferred Car B is strongly preferred to Car A Car B is moderately preferred to Car A 13 Using AHP, the relative importance weight of car D based on Style is about: (1 Point) 45% 25% 10% 20% 14 Using AHP, which car will be the best choice based on Style? S (1 Point) с B А D 15 If the CR (Consistency Ratio) for this matrix is 0.09, what will you recommend? (1 Point) Keeping the same ranking due to acceptable consistency Selecting one more car type due to equal weights Reversing the ranking of cars due to high inconsistency Re-evaluating the pairwise comparisons due to low inconsistency

Answer 1

A TI B A 1 1 D 4 2 6 1 2 A 3 B 4 C 5 D 6 Sum 7 3 1/3 1/4 4.58 1 C D B с 1/3 3 1 5 1/5 1/2 1/6 2.03 9.17 Standardized matrix B с 0.16 0.33 0.49 0.55 0.10 0.11 0.25 0.02 13.00 8 9 A 10 B 11 C 12 D A 0.22 0.65 0.07 0.05 D 0.31 0.15 0.46 0.08 Weight % 25% 46% 19% 10%

F 1 1 A B с D E A B с D 2 A 1 0.3333333333333333 4 3 B 3 1 5 2 4 C 0.333333333333333 0.2 6 5 D 0.25 0.5 0.166666666666667 1 6 Sum =SUM(B2:B5) =SUM(C2:C5) =SUM(D2:05) =SUM(E2:E5) 7 Standardized matrix 8 A B с D 9 A =B2/$B$6 =C2/$C$6 =D2/$D$6 =E2/$E$6 10 B =B3/$B$6 =C3/$C$6 =D3/$D$6 =E3/$E$6 11 C =B4/$B$6 =C4/$C$6 =D4/$D$6 =E4/$E$6 12 D =B5/$B$6 =C5/$C$6 =D5/$D$6 =E5/$E$6 Weight % =AVERAGE(B9:E9) =AVERAGE(B10:E10) =AVERAGE(B11:E11) =AVERAGE(B12:E12)

Question 11

Answer: Car A is moderately preferred to car B

Question 12

Answer: the relative importance of Car D is 10%

Question 13

Answer: Car B is the best choice based on style at it has highest relative weight which is 46%

Question 14

Answer: Keeping the same ranking due to acceptable consistency. the consistency is less than 0.1 hence the given ranking is having acceptable consistency.