Thread: 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

Originally Posted by nhoi125

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

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