Chapter 14, Problem 14P

The additive weighting model is a decision tool that aggregates information from different independent criteria to arrive at an overall score for each course of action being evaluated. The alternative with the highest score is preferred.

The general form of the model is

$V_j={\displaystyle \underset{i=1}{\overset{n}{\sum }}{\omega }_i{x}_{ij},}$

where

V_j = the score of the jth alternative;

ω_i = the weight assigned to the ith decision attribute (1 ≤ i ≤ n);

x_ij = the rating assigned to the ith attribute, which reflects the performance of alternative j relative to maximum attainment of the attribute.

Consider Table P14-14 (p. 597) in view of these definitions and determine the value of each “?” shown. (14.7)