To maximize its profit, what prices P2 and P5 should Woolworths choose?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Woolworths has two types of milk packages: 2 litres and 5 litres. There are two types of customers: small families and large families. There are 200 small families and 100 large families. A small family's value is 5 for the 2 litre milk and 6 for the 5 litre milk; a large family's value is 6 for the 2 litre milk and 10 for the 5 litre milk. Woolworths does not know whether a customer has a small family or large family. The marginal cost per litre is 1. Suppose the price for the 2-litre milk is P2, and the price for the 5-litre milk is P5. If a family does not purchase milk, it gets a value of 0.

 

Q. To maximize its profit, what prices P2 and P5 should Woolworths choose?

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