DECISION TREE TUTORIAL QUESTIONS QUESTION 1 An events management company is trying to decide whether or not to advertise an outdoor concert. The sale of tickets is dependent on the weather. If the weather is poor it is expected that 5 000 tickets will be sold without advertising. There is a 70% chance that the weather will be poor. If the weather is good it is expected that 10 000 tickets will be sold without advertising. There is a 30 % chance that the weather will be good. If the concert is advertised and the weather is poor, there is a 60% chance that the advertising will stimulate further demand and ticket sales will increase to 7 000. If the weather is good there is a 25% chance the advertising will stimulate demand and ticket sales will increase to 13 000. The profit expected, before deducting the cost of advertising, at different levels of ticket sales are as follows: The cost of advertising the concert will be N$15 000. Number of tickets sold Profit N$ (20 000) (5 000) 35 000 55 000 70 000 5 000 6 000 7 000 8 000 9 000 10 000 11 000 12 000 13 000 90 000 115 000 130 000 150 000 Required: Demonstrate, using a decision tree, whether the concert should be advertised or not.

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DECISION TREE TUTORIAL QUESTIONS
QUESTION 1
An events management company is trying to decide whether or not to advertise an outdoor concert.
The sale of tickets is dependent on the weather. If the weather is poor it is expected that 5 000 tickets
will be sold without advertising. There is a 70% chance that the weather will be poor. If the weather is
good it is expected that 10 000 tickets will be sold without advertising. There is a 30% chance that the
weather will be good.
If the concert is advertised and the weather is poor, there is a 60% chance that the advertising will
stimulate further demand and ticket sales will increase to 7 000. If the weather is good there is a 25%
chance the advertising will stimulate demand and ticket sales will increase to 13 000.
The profit expected, before deducting the cost of advertising, at different levels of ticket sales are as
follows: The cost of advertising the concert will be N$15 000.
Number of tickets sold
Profit
N$
(20 000)
(5 000)
35 000
55 000
70 000
90 000
115 000
130 000
5 000
6 000
7 000
8
000
9 000
10 000
11 000
12 000
13 000
150 000
Required:
Demonstrate, using a decision tree, whether the concert should be advertised or not.
Transcribed Image Text:DECISION TREE TUTORIAL QUESTIONS QUESTION 1 An events management company is trying to decide whether or not to advertise an outdoor concert. The sale of tickets is dependent on the weather. If the weather is poor it is expected that 5 000 tickets will be sold without advertising. There is a 70% chance that the weather will be poor. If the weather is good it is expected that 10 000 tickets will be sold without advertising. There is a 30% chance that the weather will be good. If the concert is advertised and the weather is poor, there is a 60% chance that the advertising will stimulate further demand and ticket sales will increase to 7 000. If the weather is good there is a 25% chance the advertising will stimulate demand and ticket sales will increase to 13 000. The profit expected, before deducting the cost of advertising, at different levels of ticket sales are as follows: The cost of advertising the concert will be N$15 000. Number of tickets sold Profit N$ (20 000) (5 000) 35 000 55 000 70 000 90 000 115 000 130 000 5 000 6 000 7 000 8 000 9 000 10 000 11 000 12 000 13 000 150 000 Required: Demonstrate, using a decision tree, whether the concert should be advertised or not.
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