Suppose that the demand curve for movies for college students is Q, = 80 - 1.00p and for other town residents is Q2 = 20 - 0.25p. The town's total demand curve is

The director of a recreation center in a small college town is considering changing the way he prices access cards. He has hired an economic consulting firm to estimate the demand for access cards. The firm has classified people who go the recreation center into two groups, and has come up with two demand functions. The demand curves for the general public (Q) and students (Q,) are given below: Q = 700 – 4P Q, = 1,300 – 5P a. If the current price of access cards is $100, identify the quantity demanded by each group. b. Find the price elasticity of demand for each group at the current price and quantity. c. Is the director maximizing the revenue he collects from card sales by charging $100 for each card? Explain. d. What price should he charge each group if he wants to maximize revenue collected from card sales? Check whether the new total revenue is indeed greater than the old one.

Miron Floren, of Lawrence Welk Show fame, now tours the country performing at accordion concerts. A careful analysis of demand for tickets to Mr. Floren’s concerts reveals a strange segmentation in the market. Demand for tickets by senior citizens is described by Qo = 500P^–3/2 , while demand by those under 65 years old is Qy = 50P^–4. If the marginal cost of a ticket is £3, how should tickets to Mr. Floren’s concerts be priced to maximize profits? A. £3 for senior citizens and £8 for those younger B. £6 for senior citizens and £12 for those younger C. £9 for senior citizens and £4 for those younger D. £4.71 for all tickets E. £12 for senior citizens and £4.50 for those younger

Suppose that you are in charge of a toll bridge over the Mississippi River. The demand for bridge crossing Q is given by the following: 2P = 20 - Q a) How many people would cross the bridge if there were no toll? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) b) The toll bridge operator is considering setting up a price of $5.00. At that price, how many people will cross the bridge? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) c) How many people would cross the bridge if the toll is set at $10.00? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT)