Suppose a Company Determines That the Profit P (In Hundreds $0 \leq t \leq 52$

Suppose a company determines that the profit P (in hundreds of dollars) obtained from sales during week t (for $0 \leq t \leq 52$ ) of a particular year may be modeled by the trigonometric function $P ( t ) = 115 - 40 \cos \left[ \frac { \pi ( t - 17 ) } { 26 } \right]$ What is the largest weekly profit?

A) $15,500
B) $23,000
C) $11,500
D) $7,500