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

Respuesta :

Answer:

Weighted total will be 7.

So option (c) will be the correct answer

Explanation:

We have given factor of weight [tex]w_1=0.6kg[/tex], [tex]w_2=0.1kg[/tex] and [tex]w_3=0.3kg[/tex]

Rating in three respective category [tex]x_1=6[/tex] , [tex]x_2=8[/tex] and [tex]x_3=10[/tex]

Total weight is given by [tex]x=\frac{\sum w_ix_i}{\sum w_1}[/tex]

So [tex]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[/tex]

So weighted total will be 7.4

So option (c) is the correct option