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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $450/person per day if exactly 20 people sign up for the cruise.
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $450/person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $4/person for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20.
(a) Find a function R giving the revenue per day realized from the charter.
R(x) =
(b) What is the revenue per day if 55 people sign up for the cruise?
$
(c) What is the revenue per day if 64 people sign up for the cruise?
$
2.A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose a Norman window is to have a perimeter of 43 ft. Find a function in the variable x that gives the area of the window.
F(x)=
3.A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 44¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 34¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
f(x)=
