Suppose you are an owner of an amusement park. You can assume that all your customers have an identical demand curve for

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Suppose you are an owner of an amusement park. You can assume
that all your customers have an identical demand curve for rides in
your park which is given by: Q = 20 – P. The marginal cost you are
facing is constant at MC = $3 and you expect to serve 10,000
customers per week. The pricing scheme that you want to set up is a
two-part tariff, where you charge an entrance fee of (T) as well as
the usage fee (P) for every ride. Show all work when answering the
following questions.
a. What profit-maximizing usage fee (P*) should you charge?
b. What profit-maximizing entrance fee (T*) should you
charge?
c. What would be your weekly profits?