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Dr. X, an assistant professor at a large state university, is trying to decide h

ID: 159096 • Letter: D

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 Amount of Raise From:

Hours Per Week

Research

Teaching

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

Given the above information, how should she allocate her time?

a.         20 hours research, 15 hours teaching, 15 hours service

b.         17 hours research, 17 hours teaching, 16 hours service

c.         18 hours research, 16 hours teaching, 16 hours service

d.         20 hours research, 16 hours teaching, 14 hours service

e.         none of the above

Total Amount of Raise From:

Hours Per Week

Research

Teaching

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

Explanation / Answer

Answer : Option a

Research Teaching University Service Total ($) Option 1 Hours 20 15 15 Amount 900 450 250 1600 Option 2 Hours 17 17 16 Amount 675 525 320 1520 Option 3 Hours 18 16 16 Amount 775 490 295 1560 Option 3 Hours 20 16 14 Amount 900 490 200 1590
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