HW 1A for reference to help

1a. Use Affordability, Quality, and Style as the only Values for your decision in finding the best computer for you among the 3 computers you have identified as your choices. Apply the Multifactor Evaluation Process by

(i)assigning normalized weights to the Values

(ii)assigning for each value, ratings of individual computers.

(iii)Computing the total score of each computer to find the best computer; i.e., the computer with the highest total score.

(iv)Normalizing the ratings and total scores.

You must follow the example on OV-14 to systematically show all normalized numerical results to receive full credits.

Value	Affordability	Quality	Style	Total Score (weighted Avg.)
Weight	.6	.2	.2
Hp	50/210=0.24	40/130=0.31	80/200=0.40	0.28
Acer	75/210=0.36	40/130=0.31	50/200=0.25	0.33
Chromebook	85/210=0.40	50/130=0.38	70/200=0.35	0.38
Sum	210	130	200

Using your subjective weights and ratings

The ratio between the largest and the smallest total score: 0.38/0.28=1.35

The ratio between the largest and second-largest scores= 0.38/0.33=1.15

HW2 (20 points) Apply Analytic Hierarchy Process (AHP) to estimate the relative importance of Affordability, Quality, and Style in your selection of a computer. Specifically, your need to do the following:

(1) Based on AHP, set up a 3x3 pairwise comparison matrix of the 3 values, normalize it, and compute the row averages.

(2) Compute the largest eigenvalue and consistency index CI of the matrix.

(3) If CI is exactly 0, then the matrix is totally consistent. If the matrix is not 0, then use your subjective judgment to identify the weakest or least confident pairwise comparison and change it to conform to the other two pairwise comparisons you have made, so that the matrix becomes totally consistent.

(4) Compute the row averages for the totally consistent matrix which are the new weights for the 3 values based on AHP. Compute the ratio of the largest row average to the smallest row average and compare this ratio to the ratio of the largest weight to the smallest weight of the 3 values in your HW1a, and indicate which ratio is greater or the weights are more differentiated (Note: use the weights of the 3 values NOT the total scores of the 3 computers)