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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
**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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,