□Ī.) Write a function C( x) that represents the costī.) Write a function R( x) that represents revenueĬ.) Given that profit can be represented by P( x) = R( x) − C( x), write a function that represents profit and state the domain of the functionĭ.) Find the number of people that maximizes the profit. It costs you $6000 to operate the tour plus $32 per person. You operate a tour service that offers the following rates for tours: $200 per person if the minimum number of people book the tour (50 people is the minimum), and for each person past 50 people up to a maximum of 80 people, the cost per person is decreased by $2. On the AP exam, the examples may seem much more complex, but they will follow the same steps □ □įirst, let’s try to find the relationships between all of the variables, and plug-in what we know.ģ2 π = π r 2 h 32π = πr^2h 32 π = π r 2 h Usually, the exam will provide most of these types of formulas (volume of a cylinder, the surface area of a sphere, etc.), so you don’t have to worry about memorizing them. We’ll need to know the volume formula for this problem.
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