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

Question

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The Answer of 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

A Travel Agency Will Plan a Tour for Groups of Size