Problem 1. Amazon offers different prices to two groups of consumers for its Prime membership: Group S and Group R. Suppose that demands of these two groups are as follows: Qs(p) = 100 – p Qr(p) = 200 – 4p Amazon’s marginal cost for offering one additional Prime membership (to either group) is $20 What is the profit-maximizing price for each group of consumers? What are the quantities sold to each group under these prices? (Hint: Start by writing down the inverse demand for each group.) What is the demand elasticity of Group R at their profit-maximizing price? Calculate the profits Amazon earn from each group of consumers Suppose that Amazon can perfectly price discriminate and set a price equal to each consumer’s willingness to pay in both groups. Compute (total) Amazon’s profit.
Problem 1. Amazon offers different prices to two groups of consumers for its Prime membership: Group S and Group R. Suppose that demands of these two groups are as follows: Qs(p) = 100 – p Qr(p) = 200 – 4p Amazon’s marginal cost for offering one additional Prime membership (to either group) is $20 What is the profit-maximizing price for each group of consumers? What are the quantities sold to each group under these prices? (Hint: Start by writing down the inverse demand for each group.) What is the demand elasticity of Group R at their profit-maximizing price? Calculate the profits Amazon earn from each group of consumers Suppose that Amazon can perfectly price discriminate and set a price equal to each consumer’s willingness to pay in both groups. Compute (total) Amazon’s profit.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Problem 1. Amazon offers different prices to two groups of consumers for its Prime membership: Group S and Group R. Suppose that demands of these two groups are as follows:
Qs(p) = 100 – p
Qr(p) = 200 – 4p
Amazon’s marginal cost for offering one additional Prime membership (to either group) is $20
- What is the profit-maximizing price for each group of consumers? What are the quantities sold to each group under these prices? (Hint: Start by writing down the inverse demand for each group.)
- What is the demand elasticity of Group R at their profit-maximizing price?
- Calculate the profits Amazon earn from each group of consumers
- Suppose that Amazon can perfectly
price discriminate and set a price equal to each consumer’swillingness to pay in both groups. Compute (total) Amazon’s profit.
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