Shown below is the probability tree associated with a choice to either expand or not expand. A square is a decision node; a circle is a chance (probability) node. Are “sales” independent of the expansion decision? Are “costs” independent of the expansion decision? Are “costs” independent of “sales?” Are revenues independent of the expansion decision?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Shown below is the probability tree associated with a choice to either expand or not expand.  A square is a decision node; a circle is a chance (probability) node.

  1. Are “sales” independent of the expansion decision? 

 

  1. Are “costs” independent of the expansion decision? 

 

  1. Are “costs” independent of “sales?” 

 

  1. Are revenues independent of the expansion decision? 
Expansion
Sales
Costs
Revenue
Sales - Costs
High
200000 - 100000 = 100000
High
.5
Low
Expand
200000 - 50000 = 150000
High
100000 - 100000 =
Low
.5
Low
100000 - 50000 = 50000
High
150000 - 75000 = 75000
High
3
Low
150000 - 25000 = 125000
1.3
pon't Expand
High
50000 - 75000 = -25000
7 Low
.7\ Low
50000 - 25000 = 25000
Transcribed Image Text:Expansion Sales Costs Revenue Sales - Costs High 200000 - 100000 = 100000 High .5 Low Expand 200000 - 50000 = 150000 High 100000 - 100000 = Low .5 Low 100000 - 50000 = 50000 High 150000 - 75000 = 75000 High 3 Low 150000 - 25000 = 125000 1.3 pon't Expand High 50000 - 75000 = -25000 7 Low .7\ Low 50000 - 25000 = 25000
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