Dr X, an Assistant Professor at a Large State University

Dr. X, an assistant professor at a large state university, is trying to decide how to allocate the 50 hours a week she spends working among the various activities expected of an assistant professor. The professor wants to maximize her raise next year and the table shows her estimates of how time spent in each activity will contribute to her raise:

Total Amant of Rarise Fram:
$\begin{array}{cccc}\text { Hours Per Week } & \text { Research } &\text { Teaching } & \text { University Service }\\14 & \$ 200 & \$ 400 & \$ 200 \\15 & 400 & 450 & 250 \\16 & 550 & 490 & 295 \\17 & 675 & 525 & 320 \\18 & 775 & 555 & 340 \\19 & 850 & 570 & 355 \\20 & 900 & 580 & 365 \\21 & 905 & 585 & 370\end{array}$
-What is Dr. X's maximum possible raise if she works 50 hours?

A) $1495
B) $1600
C) $1845
D) $1860
E) none of the above