Option 2: Raise prices by 50%. If this occurs, there is a 75% chance that an Entrepreneur will set up in competition this year. The board’s estimate of its annual profit in this situation would be as follows:
2A: With new competitor 2B: Without new competitor
Probability Profit (Sh.) Probability Profit (Sh.)
0.25 150,000 0.5 200,000
0.5 120,000 0.3 150,000
0.25 80,000 0.2 100,000
Option 3: Expand the car park quickly at a cost of Sh. 50,000 keeping prices theSame. The profits are then estimated to be like 2B above, except that the probabilities would be 0.6, 0.3 and 0.1 respectively.
Required: Draw a decision tree for the above problem, including all the relevant data. Using expected values analyze the decision tree and recommend the best option to the owners of the car park.
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