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:
$\begin{array}{cccc}
\text { Hours Per Week } & \text { Research } &\text { Teaching } & \text { University Service }\
14 & \$ 200 & \$ 400 & \$ 200 \
15 & 400 & 450 & 250 \
16 & 550 & 490 & 295 \
17 & 675 & 525 & 320 \
18 & 775 & 555 & 340 \
19 & 850 & 570 & 355 \
20 & 900 & 580 & 365 \
21 & 905 & 585 & 370
\end{array}$
-If she decides that she will work 54 hours a week instead, how should she allocate her time?

Question

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:
$\begin{array}{cccc}
\text { Hours Per Week } & \text { Research } &\text { Teaching } & \text { University Service }\
14 & \$ 200 & \$ 400 & \$ 200 \
15 & 400 & 450 & 250 \
16 & 550 & 490 & 295 \
17 & 675 & 525 & 320 \
18 & 775 & 555 & 340 \
19 & 850 & 570 & 355 \
20 & 900 & 580 & 365 \
21 & 905 & 585 & 370
\end{array}$
-If she decides that she will work 54 hours a week instead, how should she allocate her time?

Quizplus · Accepted Answer

The correct allocation is 20 hours research, 18 hours teaching, and 16 hours service. This allocation maximizes the total amount of raise she will receive.

Dr X, an Assistant Professor at a Large State University