Last year, 350 people come to see a spring concert at REL. The cost per ticket was $5.00. The orchestra committee wants to incre

Question

3 years ago

10

Last year, 350 people come to see a spring concert at REL. The cost per ticket was $5.00. The orchestra committee wants to incre

ase ticket prices but it is estimated that for each increase in $0.25, 10 fewer people will attend the concert. What should the committee set the ticket price to maximize ticket sales.

Mathematics

2 answers:

Anit [1.1K] · Answer 1 · 2022-04-26T01:35:19+03:00

Anit [1.1K]3 years ago

6 0

Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5

wlad13 [49] · Answer 2 · 2022-04-26T02:35:38+03:00

wlad13 [49]3 years ago

5 0

Answer:

max: 10 price: 7.5

Step-by-step explanation: