Traditional Culture Encyclopedia - Tourist attractions - A travel agency went on a trip to another place. The minimum group price was 30 people, and the price per person was 800 yuan. The travel agency gave discounts to groups with more than 30 people.

A travel agency went on a trip to another place. The minimum group price was 30 people, and the price per person was 800 yuan. The travel agency gave discounts to groups with more than 30 people.

The answer is 55 people. This is a problem of finding the maximum value of a quadratic function. Suppose the additional number of people is 10X2+500X+24000. Since the coefficient of the quadratic term is less than 0, Y has the maximum

value. When X=25, Y has a maximum value Y=30250.

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