Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table shows the scores for three potential suppliers for the four performance criteria. Criteria 1. Price 2. Quality Supplier A 6 7 Rating Supplier B Supplier C 8 9 8 6 3. Delivery 4. Flexibility Based on the highest weighted score, which supplier should be selected? 5 8 7 5 8 6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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**Supplier Selection Using Weighted Scores**

Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table below shows the scores for three potential suppliers for the four performance criteria.

#### Rating Table for Suppliers

| **Criteria** | **Supplier A** | **Supplier B** | **Supplier C** |
|--------------|----------------|----------------|----------------|
| 1. Price     | 6              | 8              | 9              |
| 2. Quality   | 7              | 8              | 6              |
| 3. Delivery  | 5              | 7              | 8              |
| 4. Flexibility| 8             | 5              | 6              |

Based on the highest weighted score, which supplier should be selected?

**Detailed Explanation:**

In the given table, we have four criteria by which each supplier is evaluated: Price, Quality, Delivery, and Flexibility. Each criterion has a different weight. Since flexibility is given twice the weight of the other criteria, it is crucial to calculate the weighted scores accordingly. 

To find out which supplier should be selected, the weighted scores for each supplier across all criteria need to be calculated:

1. **Determining the Weights:**
    - Let's denote the weight of Price, Quality, and Delivery as W.
    - Since Flexibility is given twice the weight, its weight will be 2W.
    - The sum of weights is 3W (from Price, Quality, Delivery) + 2W (from Flexibility) = 1.
    - Thus, 5W = 1.
    - W = 1/5 = 0.2.
    - The weight for Flexibility = 2W = 0.4.

2. **Calculating Weighted Scores:**
    - For **Supplier A**:
        - Price: 6 * 0.2 = 1.2
        - Quality: 7 * 0.2 = 1.4
Transcribed Image Text:**Supplier Selection Using Weighted Scores** Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table below shows the scores for three potential suppliers for the four performance criteria. #### Rating Table for Suppliers | **Criteria** | **Supplier A** | **Supplier B** | **Supplier C** | |--------------|----------------|----------------|----------------| | 1. Price | 6 | 8 | 9 | | 2. Quality | 7 | 8 | 6 | | 3. Delivery | 5 | 7 | 8 | | 4. Flexibility| 8 | 5 | 6 | Based on the highest weighted score, which supplier should be selected? **Detailed Explanation:** In the given table, we have four criteria by which each supplier is evaluated: Price, Quality, Delivery, and Flexibility. Each criterion has a different weight. Since flexibility is given twice the weight of the other criteria, it is crucial to calculate the weighted scores accordingly. To find out which supplier should be selected, the weighted scores for each supplier across all criteria need to be calculated: 1. **Determining the Weights:** - Let's denote the weight of Price, Quality, and Delivery as W. - Since Flexibility is given twice the weight, its weight will be 2W. - The sum of weights is 3W (from Price, Quality, Delivery) + 2W (from Flexibility) = 1. - Thus, 5W = 1. - W = 1/5 = 0.2. - The weight for Flexibility = 2W = 0.4. 2. **Calculating Weighted Scores:** - For **Supplier A**: - Price: 6 * 0.2 = 1.2 - Quality: 7 * 0.2 = 1.4
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