Myrtle Air Express decided to offer direct servide from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company's new fleet of jet aircraft and a discount service using smaller-capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers.  Management developed estimates of the contribution to profit for each type of service based on three possible levels of demand for service to Myrtle Beach: strong, medium and weak. The following table shows the estimated quarterly profits (in thousands of dollars):   Demand for Service Service Strong Medium Weak Full Price 950 600 -400 Discount 750 450 300 Probability 0.4 0.3 0.3 Suppose that management of Myrtle Air Express has developed the following utility function: U(950) = 100, U(750) = 89, U(600) = 72, U(450) = 58, U(300) = 48, and U(-400) = 0. Use the expected utility approach to determine the optimal decision. What is the expected utility of the optimal choice? (Round to one decimal place.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
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Myrtle Air Express decided to offer direct servide from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company's new fleet of jet aircraft and a discount service using smaller-capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers. 

Management developed estimates of the contribution to profit for each type of service based on three possible levels of demand for service to Myrtle Beach: strong, medium and weak.

The following table shows the estimated quarterly profits (in thousands of dollars):

  Demand for Service
Service Strong Medium Weak
Full Price 950 600 -400
Discount 750 450 300
Probability 0.4 0.3 0.3

Suppose that management of Myrtle Air Express has developed the following utility function:

U(950) = 100, U(750) = 89, U(600) = 72, U(450) = 58, U(300) = 48, and U(-400) = 0.

Use the expected utility approach to determine the optimal decision.

What is the expected utility of the optimal choice? (Round to one decimal place.)

 
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