John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.Demand:15161718Number of days demand occurred:2486Assume that demand will be within this range in future.(a) What are the possible actions and states?(b) Determine the daily profit (rewards) and show on a reward table.(c) Using each of the following criteria, determine John’s best action.- Maximin- Maximax- Expected value(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.
Demand:
15
16
17
18
Number of days demand occurred:
2
4
8
6
Assume that demand will be within this range in future.
(a) What are the possible actions and states?
(b) Determine the daily profit (rewards) and show on a reward table.
(c) Using each of the following criteria, determine John’s best action.
- Maximin
- Maximax
- Expected value
(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.

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