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Question 2: Problem solving (11 Marks) Kenneth Brown is the principal owner of Brown Oil, Inc. After quitting his university teaching job, Ken has been

Question 2: Problem solving (11 Marks)

Kenneth Brown is the principal owner of Brown Oil, Inc. After quitting his university teaching job, Ken has been able to increase his annual salary by a factor of over 100. At the present time, Ken is forced to consider purchasing some more equipment for Brown Oil because of competition. His alternatives are shown in the following table:

Outcomes

Alternative Decisions

O1: Favorable Market

O2:

Moderate Market

O3: Unfavorable Market

Sub 100

$ 300000

$ 150000

$ -200000

Sub 200

$ 350000

$ 200000

$ 200000

Oil J

$ 250000

$ 100000

$ -100000

Texan

$ 75000

$ 50000

$ 0

Probabilities

0.2

0.5

0.3

For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is unfavorable, Ken will suffer a loss of $200,000. But Ken has always been a very pessimistic decision maker.

If information about the probability of each outcome becomes available to Ken then:

Questions:

4. Find the best decision using the adequate technique. (3 Marks)

5. How much Ken should pay to know the perfect information about the market condition? (3 Marks)

6. Is it reasonable for Ken to purchase the perfect information about the market outcomes for $20,000? Explain why. (1 Mark)

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