A local toy manufacturer has three different mechanisms that can be installed in a doll that it sells. The different mechanisms have three different setup costs (overheads) and variable costs and, therefore, the profit from the dolls is dependent on the volume of sales. The anticipated payoffs are as follows:     Light Demand Moderate Demand Heavy Demand Probability 0.25 0.45 0.3 Wind-up action $325,000 $190,000 $170,000 Pneumatic action $300,000 $420,000 $400,000 Electrical action -$400,000 $240,000 $800,000   What is the ultimate objective in the use of decision trees to product design? How is this objective accomplished?    Draw the decision tree.   What is the EMV of each decision alternative?    Which action should be selected

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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A local toy manufacturer has three different mechanisms that can be installed in a doll that it sells. The different mechanisms have three different setup costs (overheads) and variable costs and, therefore, the profit from the dolls is dependent on the volume of sales. The anticipated payoffs are as follows:

 

 

Light Demand

Moderate Demand

Heavy Demand

Probability

0.25

0.45

0.3

Wind-up action

$325,000

$190,000

$170,000

Pneumatic action

$300,000

$420,000

$400,000

Electrical action

-$400,000

$240,000

$800,000

 

  1. What is the ultimate objective in the use of decision trees to product design? How is this objective accomplished? 

 

  1. Draw the decision tree.

 

  1. What is the EMV of each decision alternative? 

 

  1. Which action should be selected? 
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