A travel agency organizes a group to go to other places, with 30 people as a group, and the unit price is 800 yuan per person. Travel agencies give preferential treatment to groups of more than 30 peo

A travel agency organizes a group to go to other places, with 30 people as a group, and the unit price is 800 yuan per person. Travel agencies give preferential treatment to groups of more than 30 people, that is, every increase in tour groups is 1 person. Solution: There are X people.

When x=30, y = 30 * 800 = 24,000 yuan.

When x & gt30, y=(30+x)(800- 10x)

=24000-300x+800x- 10x^2

=- 10x^2+500x+24000

=- 10(x-25)^2+23375

So: when x=30+25=55 people, there is a maximum value, and the maximum value is 23375 yuan.

23375 & lt24000

therefore

A: When the number of people reaches 30, the travel agency can get the maximum business quota.