Problem 8-9 Location Score Factor (100 Points Each) Weight

Problem 8-9 Location Score Factor (100 points each) Weight A B C Convenience

The problem presents three potential locations (A, B, and C) with various factors affecting their suitability, including convenience, parking facilities, display area, shopper traffic, operating costs, and neighborhood. Each factor contributes to a composite score for each location, which is used to identify the most suitable option.

To determine which location is optimal, we need to calculate a composite score for each location by multiplying each factor's rating by its weight, summing these products, and then comparing the final scores. The location with the highest composite score will be recommended based on this analysis.

Calculations of Composite Scores for Each Location

Since the original ratings for each factor are not explicitly provided in the user input, we will proceed with a hypothetical set of ratings for each location to illustrate the calculation process comprehensively. This approach allows us to demonstrate the methodology clearly. If specific ratings are available, they should be substituted into the calculations accordingly.

Assumed Ratings and Weights

• Convenience: Ratings - A = 8, B = 7, C = 6; Weight = 0.30
• Parking facilities: Ratings - A = 7, B = 8, C = 5; Weight = 0.15
• Display area: Ratings - A = 6, B = 7, C = 8; Weight = 0.10
• Shopper traffic: Ratings - A = 8, B = 6, C = 7; Weight = 0.25
• Operating costs: Ratings - A = 5, B = 7, C = 6; Weight = 0.15
• Neighborhood: Ratings - A = 7, B = 6, C = 8; Weight = 0.05

Calculating Composite Scores

The composite score for each location is calculated by multiplying each rating by its corresponding weight and summing the products:

Composite Score = (Convenience Rating × 0.30) + (Parking Rating × 0.15) + (Display Rating × 0.10) + (Traffic Rating × 0.25) + (Cost Rating × 0.15) + (Neighborhood Rating × 0.05)

Location A

= (8 × 0.30) + (7 × 0.15) + (6 × 0.10) + (8 × 0.25) + (5 × 0.15) + (7 × 0.05)
= 2.40 + 1.05 + 0.60 + 2.00 + 0.75 + 0.35
= 7.15

Location B

= (7 × 0.30) + (8 × 0.15) + (7 × 0.10) + (6 × 0.25) + (7 × 0.15) + (6 × 0.05)
= 2.10 + 1.20 + 0.70 + 1.50 + 1.05 + 0.30
= 6.85

Location C

= (6 × 0.30) + (5 × 0.15) + (8 × 0.10) + (7 × 0.25) + (6 × 0.15) + (8 × 0.05)
= 1.80 + 0.75 + 0.80 + 1.75 + 0.90 + 0.40
= 6.40

Analysis and Recommendation

Based on the calculated composite scores, Location A scores the highest at 7.15, followed by Location B at 6.85, and Location C at 6.40. Given that the composite score reflects the overall suitability considering all factors and their respective weights, Location A emerges as the most advantageous choice.

It is important to note that these results are based on hypothetical ratings. In practice, actual ratings for each factor should be used for precise decision-making. The weights assigned to each factor should align with the strategic priorities of the organization or project in question.

Conclusion

Using a weighted scoring approach, Location A has been identified as the optimal site among the three options. This conclusion underscores the importance of systematically evaluating multiple factors and their relative importance when making location decisions. Organizations should tailor both ratings and weights according to their specific needs to enhance decision accuracy.

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