Table M1-1
Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation:

-Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that he should emphasize Yearly Cost somewhat less, and Social Life somewhat more.His new ratings are: Yearly Cost: 0.30, and Social Life: 0.20.What will be his order of preference with these new weights?
A)UM, MSU, BC, PC, UNH
B)MSU, PC, UNH, BC, UM
C)MSU, UNH, UM, BC, PC
D)UNH, BC, UM, MSU, PC

Question

Table M1-1
Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation:
 
-Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that he should emphasize Yearly Cost somewhat less, and Social Life somewhat more.His new ratings are: Yearly Cost: 0.30, and Social Life: 0.20.What will be his order of preference with these new weights?
A)UM, MSU, BC, PC, UNH 
B)MSU, PC, UNH, BC, UM 
C)MSU, UNH, UM, BC, PC 
D)UNH, BC, UM, MSU, PC

Quizplus · Accepted Answer

To calculate the new weighted scores, we multiply each score by the corresponding weight and then sum the products. The new scores for each college are:

UM: (0.40 x 0.50) + (0.20 x 0.30) + (0.10 x 0.90) + (0.15 x 0.70) + (0.15 x 0.70) = 0.355
MSU: (0.40 x 0.80) + (0.20 x 0.60) + (0.10 x 0.50) + (0.15 x 0.40) + (0.15 x 0.20) = 0.590
BC: (0.40 x 0.60) + (0.20 x 0.70) + (0.10 x 0.40) + (0.15 x 0.50) + (0.15 x 0.60) = 0.475
PC: (0.40 x 0.70) + (0.20 x 0.50) + (0.10 x 0.60) + (0.15 x 0.30) + (0.15 x 0.50) = 0.505
UNH: (0.40 x 0.50) + (0.20 x 0.80) + (0.10 x 0.70) + (0.15 x 0.60) + (0.15 x 0.60) = 0.515

Therefore, the order of preference with the new weights is: MSU, UNH, UM, BC, PC.

Table M1-1 Jason Rule Has Developed the Following Table to Represent His