The best location for the Warriors to relocate to is Jackson, with a total weighted score of 37.2.
The best location for the Warriors to relocate to is still Jackson.
How to solve
The factors that Ken thinks are important and their weights are given in the table below:
Factor Weight
Incentive 0.040
Player satisfaction 0.30
Sports interest 0.20
Size of city 0.10
The scores for Mobile and Jackson are also given in the table below:
Factor Mobile Jackson
Incentive 80 55
Player satisfaction 15 50
Sports interest 40 85
Size of city 75 30
To calculate the total weighted score for each location, we multiply each score by its weight and add the products together. For Mobile, the total weighted score is:
(0.040 * 80) + (0.30 * 15) + (0.20 * 40) + (0.10 * 75) = 30.8
For Jackson, the total weighted score is:
(0.040 * 55) + (0.30 * 50) + (0.20 * 85) + (0.10 * 30) = 37.2
Therefore, the best location for the Warriors to relocate to is Jackson, with a total weighted score of 37.2.
Even with an increased score of 75 in the "Incentive" factor for Jackson, its higher-weighted factors compared to Mobile still make Jackson the better choice, as these factors have a greater influence on the overall decision.
Here is the calculation of the total weighted score for Jackson with the updated score for the "Incentive" factor:
(0.040 * 75) + (0.30 * 50) + (0.20 * 85) + (0.10 * 30) = 38.2
As you can see, Jackson's total weighted score is still higher than Mobile's total weighted score of 30.8. Therefore, the best location for the Warriors to relocate to is still Jackson.