A question about functions. Will fan and medal!

Question

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A ferry boat captain would like to determine if the current $20 ferry passage charged to customers maximizes income. The boat has been granted a sailing capacity of 300 passengers. At the current passage, the average number of passengers for sailing has been 200. The captain has determined that with each dollar the passage is decreased, 10 more passengers will sail. Is income currently maximized? If yes, show why. If no, what is the passage that will maximize income?

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Really appreciate it if you can help! @agent0smith @inkyvoyd @quickstudent @mathmale @triciaal @zepdrix

triciaal · Answer

in the middle of another right now

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This is what I got so far. x= dollar decreased by $1. f(x)=(20-x)(200+10x)---> -10x^2=200x+3800=0

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vertex of y value is maximum value is the answer..

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@triciaal ok! @quickstudent it's fine

triciaal · Answer

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