A.) Drum Tight Containers is designing an​ open-top,
square-based, rectangular box that will have a volume of
171.5in^3.

What dimensions will minimize surface​ area? What is the minimum
surface​ area? What are the dimesnions of the box?

B.) A university is trying to determine what price to charge for
tickets to football games. At a price of $24 per ticket, attendance
averages 40,000 people per game. Every decrease of $2 adds 10,000
people to the average number. Every person at the game spends an
average of $3.00 on concessions. What price per ticket should be
charged in order to maximize revenue? How many people will attend
at that price?

C.) Using C(x) = 0.01x^2 + 3.2x + 40 and R(x) = 4x, find the
total profit, P(x). Find
and P(x) when x = 40 and x = 3.