2. A pet store sells fancy handcrafted nametags to
go on dogs' and cats' collars. The store's profit is
$6 for each dog nametag and $5 for each cat
nametag sold. Each week the store sells an average
of 12 dog tags with a standard deviation of 4 tags,
and an average of 15 cat tags with a standard
deviation of 3. The store's expected weekly profit
on these products is $147. Assuming sales are
independent, what's the standard deviation of this
weekly profit?
A) $11.87
D) $39
B) $14.80
E) $55
C) $28.30