Anna makes hand-painted plates. her overhead cost are $750 per week, and she pays an additional $10 per plate in material cost. if anna sells the plates for $25 each, how many plates does she have to sell each week before she can make a profit?

From the question we get the following equation:
750+10p=25p
750=15p
p= 750/15
p=50

So if Anna sells 50 plates she will earn total $1250. Her cost are 750 + 50*10 = $1250. That means that Anna break even when she sells 50 plates. The question are when is Anna making a profit? When Anna sells more than 50 plates.