Question

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?

a. 24
b. 1
c. 7.4
d. 9.8
e. None of these

Answer 1

Weighted total will be 7.

So option (c) will be the correct answer

Step-by-step explanation:

We have given factor of weight
`w_1=0.6kg`,
`w_2=0.1kg` and
`w_3=0.3kg`

Rating in three respective category
`x_1=6` ,
`x_2=8` and
`x_3=10`

Total weight is given by
`x=(\sum w_ix_i)/(\sum w_1)`

So
`x=(\sum w_ix_i)/(\sum w_1)=(6* 0.6+8* 0.1+10* 0.3)/(0.6+0.1+0.3)=7.4`

So weighted total will be 7.4

So option (c) is the correct option