Question

A grocery store is trying to find a new supplier for orange juice. Its three most important supplier criteria are freshness, lot size, and cost, with factor weights of 0.5,0.2, and 0.3 , respectively. What would a supplier with ratings of 6.5,7, and 8 in the three respective categories score as a weighted total? (Round afiswer to two decimal places.)

A. 7.05
B. 8.55
C. 21.50
D. 10.75
E. 7.35

Answer 1

The weighted total score for the supplier is calculated using the provided factor weights and supplier ratings, resulting in a score of 7.05.

Step-by-step explanation:

To calculate the weighted total score for a supplier with ratings in three categories, we can use the given factor weights and ratings to perform the following calculation:

• Freshness rating: 6.5 with a weight of 0.5
• Lot size rating: 7 with a weight of 0.2
• Cost rating: 8 with a weight of 0.3

The weighted total score can be calculated as:

(Freshness score × Freshness weight) + (Lot size score × Lot size weight) + (Cost score × Cost weight)

(6.5 × 0.5) + (7 × 0.2) + (8 × 0.3) = 3.25 + 1.4 + 2.4 = 7.05

Hence, the weighted total score for the supplier is 7.05, which corresponds to option A when rounded to two decimal places.