In: Advanced Math
Consider the movie ticket and popcorn example discussed in
Section 17.7. The theater sells two products, tickets and popcorn.
Suppose the weekly demand for movie tickets is
Qdtix=500−25Ptix−20Ppopcorn,
where Ptix and
Ppopcorn are the prices of a ticket
and a bag of popcorn, respectively. Suppose that each time a
moviegoer buys a ticket, his demand for popcorn is
Qdpopcorn=3−0.4Ppopcorn,
where Qdpopcorn is the number of
bags of popcorn the moviegoer buys. Suppose further that the
theater's marginal cost of a ticket is $2, while the marginal cost
of popcorn is $3.
Instructions: Round your answer to 2 decimal
places.
a. What is the profit-maximizing price of a movie ticket if a bag
of popcorn sells for $5 a bag?
$.