Sunday

December 21, 2014

December 21, 2014

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

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 2:57pmIf 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**

Biology - A scientist has noted a possible relationship between a certain ...

Math - I need help with this questions. a). An overhead garage door has two ...

accounting - The City of Katerah maintains its books and records in a manner ...

Physics - trap door of length and width 1.65 m is held open at an angle of 65.0 ...

Physics - trap door of length and width 1.65 m is held open at an angle of 65.0 ...

Healthcare Finance - Metropolis Health System has received a wellness grant from...

HISTORY - 1. Which factor contributed most to the increased importance of ...

Physics - There is a door that is 1.0 m wide and can rotate about a vertical ...

PHYSICS! - A horizontal force of 10 N is applied to the outer edge of a door at...

Physics - Bob and Ray push on a door from opposite sides. They both push ...