a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).   Students with Early Classes Students without Early Classes Coffee 73 63 Banana 53 103

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 45P
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At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
 
Students with Early Classes
Students without Early Classes
Coffee 73 63
Banana 53 103
 
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
 
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two
types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee
73
63
Banana
53
103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item
or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
Price Strategy
Revenue from Pricing Strategy
Cost from Pricing Strategy
Profit from Pricing Strategy
1. Mixed Bundling
2$
24
2. Price Separately
2$
24
3. Bundle Only
2$
2$
Pricing strategy
yields the highest profit for the café owner.
Transcribed Image Text:At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). Students with Early Classes Students without Early Classes Coffee 73 63 Banana 53 103 The marginal cost of coffee is 5 and the marginal cost of a banana is 20. The café owner is considering three pricing strategies: 1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73. 2. Price separately: Offer coffee at 63, price a banana at 103. 3. Bundle only: Coffee and a banana for 126. Do not offer goods separately. Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. For simplicity, assume there is just one student with an early class, and one student without an early class. Price Strategy Revenue from Pricing Strategy Cost from Pricing Strategy Profit from Pricing Strategy 1. Mixed Bundling 2$ 24 2. Price Separately 2$ 24 3. Bundle Only 2$ 2$ Pricing strategy yields the highest profit for the café owner.
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,