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 doortodoor 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.
Answer This Question
Related Questions
 math problem  64. Commuting Students. At a well known university, ¼ of the ...
 math  Commuting students. At a wellknown university ¼ of the undergraduate ...
 statistics  1. An LU professor is interested in whether there is a difference ...
 Algebra  Commuting students. At a wellknown university, 1/4 of the ...
 American History  If one leve of government provides money to another level of ...
 Social Studies  How did the election of Ulysses S. Grant affect the voting ...
 university of phoenix  T test for independent groups and dependent groups (Two...
 statistics  T test for independent groups and dependent groups (Twogroup ...
 math  Twenty five students in a class were selling pizzas door to door in a ...
 Science  A scientist has noted a possible relationship between a certain ...
More Related Questions