(a) An art dealer's client is willing to buy the Sunflower painting at $50,000. The dealer can buy the painting today for $40,000 or can wait a day and buy the painting tomorrow (if it has not been sold) for $30,000. The dealer may also wait another day and buy the painting (if it is still available) for $26,000. At the end of the third day, the painting will no longer be available for sale. Each day, there is a 0.60 probability that the painting will be sold. Construct a decision tree and determine the strategy that will maximize the dealer's expected profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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QUESTION 1
(a) An art dealer's client is willing to buy the Sunflower painting at $50,000. The dealer can
buy the painting today for $40,000 or can wait a day and buy the painting tomorrow (if it
has not been sold) for $30,000. The dealer may also wait another day and buy the painting
(if it is still available) for $26,000. At the end of the third day, the painting will no longer be
available for sale. Each day, there is a 0.60 probability that the painting will be sold.
Construct a decision tree and determine the strategy that will maximize the dealer's
expected profit.
Transcribed Image Text:QUESTION 1 (a) An art dealer's client is willing to buy the Sunflower painting at $50,000. The dealer can buy the painting today for $40,000 or can wait a day and buy the painting tomorrow (if it has not been sold) for $30,000. The dealer may also wait another day and buy the painting (if it is still available) for $26,000. At the end of the third day, the painting will no longer be available for sale. Each day, there is a 0.60 probability that the painting will be sold. Construct a decision tree and determine the strategy that will maximize the dealer's expected profit.
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