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

  1. math problem

    64. Commuting Students. At a well known university, ¼ of the undergraduate students commute, and 1/3 of graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students …
  2. Algebra

    Commuting students. At a well-known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students …
  3. math

    Commuting students. At a well-known university ¼ of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students …
  4. statistics

    1. An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day. The professor gathers information from random samples of undergraduate …
  5. university of phoenix

    T test for independent groups and dependent groups (Two-group designs) 1. An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each …
  6. statistics

    T test for independent groups and dependent groups (Two-group designs) 1. An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each …
  7. math

    Twenty -five students in a class were selling pizzas door to door in a community of 500.if the town was divided evenly among the students , how many did each student visit?
  8. Social Studies

    How did the election of Ulysses S. Grant affect the voting rights of African Americans?
  9. American History

    If one leve of government provides money to another level of government and it is distributed according to a particular set of rules that specify who is eligible for the grant and how much each eligible applicant will receive, it is …
  10. Statistics

    From five faculty members and four students, a committee of four is to be chosen that includes two students and two faculty members. In how many ways can this be done?

More Similar Questions