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 $\mathrm{.}6,\mathrm{.}1,$ and $\mathrm{.}3$ respectively. What would a vendor with ratings of $6,8,$ and $10$ in the three respective categories score as a weighted total?

Question $53$ options:

a$)$

$54$

b$)$

$9\mathrm{.}8$

c$)$

$7\mathrm{.}4$

d$)$

$1$

e$)$

$24$