ok so a theater is selling seats, and 100 seats are sold at $50 a seat. For each seat that is not sold, the price of a seat goes up by one dollar. So...
a) what is price per seat
b) what is the revenue cost
c) what is the maximum revenue
let x be the number of seats not sold. so in addition to $50 per seat, what would be the price if x seats were not sold?
the number of seats sold is (100 - x), can you tell me why?b) what is the revenue cost
revenue is the price times number of units sold.
find the maximum of the revenue function. do you know how to find the max? are you allowed to use calculus? you don't need to. what kind of function is your revenue function?c) what is the maximum revenue