A local travel agent is organizing a charter ride to a well known resort. The agent has quoted
a price of $30 per person if 100 or fewer sign up for the ride. For every person over the 100,
the price of the ticket for all will decrease by $2.50. For instance, if 101 people sign up, each
will pay $27.50. Let x be the number of people above 100.
a) Determine the function which states price per person p = f(x), which is a function of x.
b) Formulate the revenue function R = h(x), which states the total ticket revenue R as a
function of x.
c) Plot the graph of the revenue function.
d) What value of x results in the maximum value of R?
e) What is the maximum value of R?
f) What price per ticket results in maximum R?
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