Question

There are four locations (P, Q, R, S) and four factors to be considered for setting up a facility. The scores (on a scale of 0 to 10, with 10 being the maximum) for the given locations and the weight assigned to each factor are given as 

The best location for setting up the facility is

• A. P
• B. Q
• C. R
• D. S

Hint:

When evaluating options based on multiple factors, multiply the scores by their respective weights and sum the results to get the total score for each option.

Answer 1

The Correct Option is C

- To calculate the best location, we multiply the scores by the weights for each location and sum the results.
For location P: \[ (6 \times 0.4) + (7 \times 0.3) + (8 \times 0.2) + (10 \times 0.1) = 2.4 + 2.1 + 1.6 + 1.0 = 7.1 \] For location Q: \[ (8 \times 0.4) + (4 \times 0.3) + (3 \times 0.2) + (8 \times 0.1) = 3.2 + 1.2 + 0.6 + 0.8 = 5.8 \] For location R: \[ (5 \times 0.4) + (10 \times 0.3) + (10 \times 0.2) + (7 \times 0.1) = 2.0 + 3.0 + 2.0 + 0.7 = 7.7 \] For location S: \[ (4 \times 0.4) + (6 \times 0.3) + (8 \times 0.2) + (5 \times 0.1) = 1.6 + 1.8 + 1.6 + 0.5 = 5.5 \] Thus, location R has the highest score and is the best location.