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
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
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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.
Updated On: Sep 4, 2025
- P
- Q
- R
- S
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The Correct Option is C
Solution and Explanation
- 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.
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.
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