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

Answer:

Weighted total will be 7.

So option (c) will be the correct answer

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 $x=\frac{\sum w_ix_i}{\sum w_1}$

So $x=\frac{\sum w_ix_i}{\sum w_1}=\frac{6\times 0.6+8\times 0.1+10\times 0.3}{0.6+0.1+0.3}=7.4$

So weighted total will be 7.4

So option (c) is the correct option