# 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?

Trent Carpenter 2020-10-31 Answered
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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Nicole Conner

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