# Math Help - maximizing revenue

1. ## 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 2. 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
$p = 100+2n$

$x = 50 - n$

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

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