A charter company will provide a plane for a fare of $60 each for 20 or fewer passengers. For each passenger in excess of 20, the fare is decreased $2 per person for everyone. What number of passengers will produce the greatest revenue for the company?

Question

Answer 1

1:
(20+x)
2:
(60-2x)
3:
f(x)=(20+x)(60-2x)
$= - 2 x^{2} = 20 x + 1200$
4:
$x = - \frac{b}{2 a}$
$= - \frac{20}{2 (- 2)} = 5$

A charter company will provide a plane for a fare of $60 each for 20 or fewer passengers. For each passenger in excess of 20, the fare is decreased $2 per person for everyone. What number of passengers will produce the greatest revenue for the company?

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