# Mathematics

A travel agency offers group tours at a rate of \$60/person for the first 30 participants. For longer groups-up to 90-each person receives a\$0.50 discount for every participant in excess of 30. For example, if 31 participate, the cost/person is \$59.50. Determine the size of the group that will produce the maximum amount of money for the agency.

1. 👍 0
2. 👎 0
3. 👁 198
1. revenue for x>=30

r = x(60-0.50(x-30))
= .5x(150-x)

max r at x=75

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Algebra

The Royal Tyrell Museum offers group tours for\$15.85 plus \$3.50 per person. How many people could go on a tour for \$36.85?Create an equation for this and solve. *please show me how to do this not just the answer thank you*

asked by Cherie on May 28, 2019
2. ### Calculus

A travel agency currently has 80plp signed up a tour. The price of a ticket is \$5000 per person. The agency has chatered a plane seating 150 plp at a cost of \$250000. Additional costs to the agency are incidental fees of \$300 per

3. ### human services

what would be the definition for the words problem, policy, and programs for health and human services? would you say problems.. what a person is going through? policy.. being what the agency has to follow such as guidelines and

asked by alley on October 20, 2007
4. ### Calc Help

An agency charges \$15 per person for a trip for groups of no less than 30 people. But for each person above the 30, the charge (for everyone!) will be reduced by \$0.15. Write a revenue function for the agency usin x as number of

asked by Rob on March 7, 2007
5. ### MATH URGENT!!!

A researcher is interested in the effects of monetary incentives on task performance. She recruits 60 undergraduate business students and offers to pay them each \$5 for a 1 hour research session. She then randomly assigns these

asked by Jill on November 21, 2011
6. ### Math

Peaceful Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 2 cities, 2 months, and 3 airlines to choose from. How many different vacation packages do they offer?

asked by Barry Vacker on January 18, 2019
7. ### human services

Can someone give me an example of a government agency that....? ...offers a program for the homeless. And possibly a faith-based agency that offers the same type of program?

asked by Anonymous on October 9, 2007
8. ### psychology

the research of solomon asch revealed that: A. participants in the study conformed to the erroneous group respose in one-half of the trials. B. All participants in the study conformed to the erroneous group response in each trial.

asked by sue on July 6, 2012
9. ### Psychology

The research of Solomon Asch revealed that: a.participants in the study conformed to the erroneous group response in one-half of the trails. b.all participants in the study conformed to the erroneous group response in each trail.

asked by Sammi on October 26, 2011
10. ### English

We are currently learning about types of communications in my english class, we were each given a question and I need help with mine. 9. You are working in a face-to-face group and one of your group members offers a suggestion

asked by James on March 24, 2017

More Similar Questions