Traditional Culture Encyclopedia - Travel guide - A travel agency organized a group to travel to other places, with 30 people as a group, and the unit price per person was 800 yuan. Travel agencies give discounts to groups of more than 30 people.

A travel agency organized a group to travel to other places, with 30 people as a group, and the unit price per person was 800 yuan. Travel agencies give discounts to groups of more than 30 people.

Have you ever studied parabola?

Solution: When there are more than X people, the travel agency can get the biggest business.

y=(800- 10x)(30+x)

y= 10(80-x)(30+x)

y= 10(2400+50x-x？ )

y'= 10(50-2x)=0

That is, when x=25, the travel agency can get the maximum business volume.

What is the maximum business volume?

(800-250)(30+25)

=550×55

=30250 yuan