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Math Help - maximizing revenue

  1. #1
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    maximizing revenue

    A vacation tour have 50 customers when it charges $100 for the trip. For every $2 increase in price the tour will lose on customer. If we let n be the number of $2 price increases, find equations p(n) =the price of the tour, x(n)=the number of guests, and R(n)=the revenue of the tour. What should the tour charge to maximize revenue.

    I really have no idea where to even begin
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  2. #2
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    Quote Originally Posted by nhoi125 View Post
    A vacation tour have 50 customers when it charges $100 for the trip. For every $2 increase in price the tour will lose on customer. If we let n be the number of $2 price increases, find equations p(n) =the price of the tour, x(n)=the number of guests, and R(n)=the revenue of the tour. What should the tour charge to maximize revenue.

    I really have no idea where to even begin
    p = 100+2n

    x = 50 - n

    R = px = (100+2n)(50-n)

    the graph of R is a parabola with a maximum at its vertex
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