Post a New Question

Finite Math

posted by .

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 -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question