A grocery store is trying to find a new vendor for carrots. Its three criteria are: 1. Freshness, 2. Lot Size, and 3. Cost, with factor weights of. 6,.1, and. 3, respectively. What would a vendor with ratings of 6, 8, and 10 in the three respective categories score as a weighted total?

7.4

Explanation:

Let

Wi = weighted factor

Xi = ratings

Then,

Weighted total ratings = Sum of (Xi*Wi) / Sum of Wi

We know that the weights W1 = 0.6, W2 = 0.1, W3 = 0.3

Ratings X1 = 6, X2 = 8, X3 = 10

Total of weights = 0.6+0.1+0.3 = 1

Total ratings = 0.6*6 + 0.1*8 + 0.3*10 = 3.6 + 0.8 + 3 = 7.4

Rating Score = Total ratings / total weights

= 7.4 / 1

= 7.4