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 im 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.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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.
Transcribed Image Text: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.
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