A Travel Agency Will Plan a Tour for Groups of Size

Multiple Choice

A travel agency will plan a tour for groups of size $13$ or larger. If the group contains exactly $13$ people, the price is $\$ 800$ per person. However, each person's price is reduced by $\$ 10$ for each additional person above the $13$ . If the travel agency incurs a price of $\$ 150$ per person for the tour, what size group will give the agency the maximum profit?

A) 26
B) 14
C) 39
D) 22
E) 32