Question

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.

                                                                                  

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

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

Supplier____ should be​ selected, with a total weighted score of____​(Enter your response rounded to one decimal​ place.)

Answer 1

Apportionment of the weight to each criteria :-

Total weight =1,

assume x be the weight of the each three criteria (other than flexibilty)

then the weight of flexibility criteria will be 2x

therefore 2x+3x=1

then x=0.2

weight of Flexibility criteria is =0.4,Other crtiteria  is 0.2 each*

Calculation of Weights to Supplier :-

Creteria	Supplier A Rating	Weights	Supplier B Rating	Weights	Supplier C Ratings	Weights
Pricing	7	7*0.2=1.4	6	6*0.2=1.2	5	5*0.2=1.0
Quality	6	6*0.2=1.2	7	7*0.2=1.4	8	8*0.2=1.6
Delivery	7	7*0.2=1.4	6	6*0.2=1.2	8	8*0.2=1.6
Flexibility	8	8*0.4=3.2	9	9*0.4=3.6	7	7*0.4=2.8
Total		7.2		7.4		7.0

Supplier B is selected with weight score of 7.4