3.- (From problem 5.3 in the textbook) A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demands: • Under 25: qr = 18 − 5p • Over 25: q = 10 − 2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each. (a) If the market cannot be segmented, what is the uniform monopoly price? (b) If the nightclub can charge according to whether or not the customer is a student but is limited to linear pricing, what price (per drink) will be set for each group? (c) If the nightclub cannot charge according to whether the customer is a student or not, but can set a (common) cover charge and a (common) price per drink (which we assume equal to $2), what two-part tariff will it choose? (d) If the nightclub can set a separate cover charge and price per drink for each group, what two-part pricing schemes will it choose?
3.- (From problem 5.3 in the textbook) A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demands: • Under 25: qr = 18 − 5p
• Over 25: q = 10 − 2p
The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each.
(a) If the market cannot be segmented, what is the uniform
(b) If the nightclub can charge according to whether or not the customer is a student but is limited to linear pricing, what price (per drink) will be set for each group?
(c) If the nightclub cannot charge according to whether the customer is a student or not, but can set a (common) cover charge and a (common) price per drink (which we assume equal to $2), what two-part tariff will it choose?
(d) If the nightclub can set a separate cover charge and price per drink for each group, what two-part pricing schemes will it choose?
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