Problem 14-17 (Algorithmic) Dan Joseph was considering entering one of two gradu
ID: 465804 • Letter: P
Question
Problem 14-17 (Algorithmic)
Dan Joseph was considering entering one of two graduate schools of business to pursue studies for an MBA degree. When asked how he compared the two schools with respect to reputation, he responded that he preferred school A eight times stronger than school B.
Set up the pairwise comparison matrix for this problem. If necessary, enter the numbers as a simple fraction.
Determine the priorities for the two schools relative to this criterion. If necessary, enter the numbers as a simple fraction.
Step 1: Sum the values in each column.
Column totals are: ?, and ?
Step 2: Divide each element of the matrix by its column total.
Step 3: Average the elements in each row to determine the priority of each criterion. (Round your answers to 3 decimal places.)
(please fill in all question marks)
Reputation School A School B School A ? ? School B ? ?Explanation / Answer
Step 1: Sum the values in each column.
Reputation
School A
School B
School A
1
8
School B
1/8
1
Column Total
9/8
9
Column totals are: 9/8, and 9
Step 2: Divide each element of the matrix by its column total.
Reputation
School A
School B
School A
8/9
8/9
School B
1/9
1/9
Step 3: Average the elements in each row to determine the priority of each criterion. (Round your answers to 3 decimal places.)
Reputation
School A
School B
Row Average
School A
8/9
8/9
8/9 = 0.8889
School B
1/9
1/9
1/9 = 0.1111
Reputation
School A
School B
School A
1
8
School B
1/8
1
Column Total
9/8
9