Posted by **Sarah** on Friday, July 4, 2014 at 2:14pm.

A political scientist has received a grant to fund a research project involving voting trends.

The budget of the grant includes $3200 for conducting door-to-door interviews the day

before an election. Undergraduate students, graduate students, and faculty members will

be hired to conduct the interviews. Each undergraduate student will be conduct 18

interviews and be paid $100. Each graduate student will conduct 25 interviews and be paid

$150. Each faculty member will conduct 30 interviews and be paid $200. Due to limited

transportation facilities, no more that 20 interviewers can be hired. One of the conditions

of the grant is that at least 50% of the interviewers must be undergraduate students. How

many undergraduate students, graduate students, and faculty members should be hired in

order to maximize the number of interviews that will be conducted?

- Finite Math -
**Steve**, Friday, July 4, 2014 at 2:57pm
If there are x undergrads, y grads, and z faculty, we have

x+y+z <= 20

100x + 150y + 200z <= 3200

x >= y+z

maximize 18x+25y+30z

Now just apply your favorite optimization tool.

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