16. Suppose you are to decide between two suppliers for your organizations. The two suppliers have been rated on four dimensions. The dimensions and their weights are: Price = 40%, Quality = 30%, Delivery = 20%, Service = 10%. The rating was on a 1-5 scale, with 5 as the highest. The rating scores are shown in the table below. What are the total weighted scores for Supplier A and Supplier B?

Supplier A

Supplier B

Price

4

3

Quality

5

4

Delivery

3

5

Service

2

3

Question

16.  Suppose you are to decide between two suppliers for your organizations. The two suppliers have been rated on four dimensions. The dimensions and their weights are: Price = 40%, Quality = 30%, Delivery = 20%, Service = 10%. The rating was on a 1-5 scale, with 5 as the highest. The rating scores are shown in the table below. What are the total weighted scores for Supplier A and Supplier B?

Supplier A

Supplier B

Price

4

3

Quality

5

4

Delivery

3

5

Service

2

3

BlackTom AI · Accepted Answer

Weighted average multiplies each criterion score by its weight and sums the results to produce a single composite score for each supplier.

1) Relevant concepts
- Weighted average: total score = sum(weight_i * score_i).
- Convert percentage weights to decimals: 40% = 0.4, 30% = 0.3, 20% = 0.2, 10% = 0.1.
- Scores are on a 1–5 scale, so the weighted average also lies between 1 and 5.

2) Step-by-step reasoning and calculations

Supplier A:
- Price contribution: 4 * 0.40 = 1.6
- Quality contribution: 5 * 0.30 = 1.5
- Delivery contribution: 3 * 0.20 = 0.6
- Service contribution: 2 * 0.10 = 0.2
- Sum (total weighted score) = 1.6 + 1.5 + 0.6 + 0.2 = 3.9

Supplier B:
- Price contribution: 3 * 0.40 = 1.2
- Quality contribution: 4 * 0.30 = 1.2
- Delivery contribution: 5 * 0.20 = 1.0
- Service contribution: 3 * 0.10 = 0.3
- Sum (total weighted score) = 1.2 + 1.2 + 1.0 + 0.3 = 3.7

3) Intermediate steps are shown above for each criterion product and the running sums.

4) Why this is correct
Each contribution properly reflects both the rating (1–5) and the relative importance (weight) of that dimension. Summing these weighted contributions yields the overall performance metric used to compare suppliers.

5) Why other totals would be incorrect
Common mistakes include failing to convert percent weights to decimals or summing raw scores without weighting; either leads to wrong totals. Any alternative totals (e.g., 4.0 or 3.8) do not match the proper weighted sums shown step-by-step above.

6) Conclusion
Supplier A=3.9 and Supplier B = 3.7

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