Fence and Ticket Problem

11:25 PM

FENCE PROBLEM

A rectangular field is to be fenced off along the bank of a river. If 200 yards of fencing are available, what are the dimensions of a field that produces the maximum area?

TICKET PROBLEM

Airplane tickets cost $200 if between 0 and 50 passengers are on the plane. However, for each additional passenger over 50, the price per ticket is reduced by $2 for all passengers. For example, if there are 52 passengers, then the cost per ticket for all passengers is $196. How many passengers will produce the maximum revenue?