Draw a decision tree for the blew decision problem

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Reference no: EM131442050

Decision at BLEW

Blenheim Electric Works (BLEW) manufactures small diesel-powered electric generators for the home, farm and light-industry markets. It is based in the UK, but 90% of its business is overseas, mostly with rural developing countries. The company produces a range of six products, the smallest being the "Villum", which generates 500W for lighting, and the largest being the "Monsted", suitable for small irrigation pumping. Competition had traditionally come from a German company, but recently from several manufacturers in Japan, Korea and Taiwan. Most recently the Spanish company Solares has become very competitive in the South American market.

It is with one particular South American country that the current decision problem arises. It is a small, somewhat reclusive, but politically stable country, which we shall refer to as Coronado. BLEW has had 40% of the Coronado market for the past 10 years. The government is socialist, but has recently been liberalising its position. In fact, it has just approached BLEW with the request that it consider setting up a factory in Coronado to produce generators both for the host Coronado market and for export to the rest of South and Central America. The advantages to BLEW are strategic and largely long term. Operationally, the shortage of skilled labour, support facilities and the small factory operation would make it more expensive to produce there, notwithstanding the transportation savings. However, if BLEW were not to do this, it seems that Solares could.

The terms that the Coronado Government are offering BLEW, in return for a 50% co-ownership of the factory, involve help with training a workforce, the setting up of support facilities, and import protection through quotas and tariffs for the first 7 years. In Present Value terms, over a 10-year horizon, this proposition appears to be worth £9.5 million to BLEW, compared to £18 million for the scenario of Coronado continuing as presently to import. However, if BLEW turned the offer down and Solares accepted it, then BLEW could only expect to make £2.5 million in the Coronado market over this period. The marketing director of BLEW thought the probability of Solares accepting this offer was about 0.5. If Solares turned it down, then in a second round of negotiations, Coronado would offer better terms with BLEW on quotas and tariffs, giving a present worth of £13 million. If BLEW turned these improved terms down, the probability of Solares then accepting would be about 0.6, and in this situation BLEW could expect to make only £2 million. These would be the best terms that Coronado could offer, and if both BLEW and Solares turned them down, it is not considered likely that Coronado and any other manufacturer would negotiate an agreement. The country would continue to import, at least in the short-term.

Address the following questions, making sure to describe the modeling approach used:

(i) Using only the information presented so far in the case, draw a decision tree for the BLEW decision problem. Based on an expected value criterion, provide advice as to what BLEW should do.

(ii) How does the optimal course of action change with respect to the probabilities of Solares accepting the offers?

(iii) What is the most that would be worth paying for information regarding whether or not Solares will accept the initial offer?

In the course of discussions with Easy Money Banking plc (EMB), who would help BLEW finance the project, it became apparent that some consideration of political risk would be prudent. EMB maintained a special advisory group for these purposes. They agreed that Coronado was currently reasonably stable by South American standards, but over 10 years it is by no means certain that it can escape the problems that beset its neighbours. Overall, the advisors suggested that there was a 0.75 probability of no change, a 0.15 chance of a swing to the left through revolutionary extremism, and a 0.1 chance of a swing to the right through military coup. EMB suggested that BLEW think of several adverse changes in policy, namely, expropriation of assets, "creeping" expropriation (increased taxation of profits and control of remittances back to the UK), and removal of tariffs and quotas. Scenarios for each of these were then computed giving present value payoffs for the various combinations of decisions and outcome scenarios. These are shown in Table 1. Table 2 shows the probabilities of each of these political risks conditional on the three scenarios of government change.

Table 1: Present value payoffs (in £ millions) for BLEW resulting from the different scenarios

Political Risk Scenario

BLEW Build Factory

BLEW Continue to Export & Solares Build Factory

No one Builds

Initial Terms

Revised Terms

Initial Terms

Revised Terms

Current Situation Maintained

9.5

13

2.5

2

18

Expropriation

-22

-20

1

0.8

18

Creeping Expropriation

-5

-4

2.2

1.9

18

Removal of Tariffs and Quotas

-7

-6

14

13

18

 

Table 2: Probability of each political risk scenario conditional on each scenario for government chance

Government Change

Political Risk Scenario

Conditional Probability

None

Current Situation Maintained

0.7

Expropriation

0

Creeping Expropriation

0.2

Removal of Tariffs and Quotas

0.1

Left

Current Situation Maintained

0.45

Expropriation

0.1

Creeping Expropriation

0.45

Removal of Tariffs and Quotas

0

Right

Current Situation Maintained

0.5

Expropriation

0

Creeping Expropriation

0.1

Removal of Tariffs and Quotas

0.4

Address the following questions, making sure to describe the modeling approach used:

(iv) Using all the information presented in the case, draw a decision tree for the BLEW decision problem. Based on an expected value criterion, provide advice as to what BLEW should do.

(V) How does the optimal course of action change with respect to the present value payoff that no one builds a factory?

(vi) How would the decision taken in Question (iv) change if you use a maximin criterion? Provide critical discussion on the pros and cons of using a minimax criterion versus an expected value criterion, and make reference to pertinent literature to support your reasoning. (Assume the value given in the case for the present value payoff that not one builds a factory.)

Verified Expert

Decision tree is used to make the decision when a company or one is faced with two demanding issues. The tree is represented by the use of lines, rectangles and sometimes a triangle. This helps the management to make a quick judge of what is available.

Reference no: EM131442050

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Reviews

inf1442050

4/12/2017 6:05:26 AM

Yes received the solution, got bit late due to some unavoidable circumstances in expert's family (as per mentioned by team). I got bit disappointed But I must say this is really good work.

len1442050

3/27/2017 6:56:59 AM

Course objectives: Display knowledge of Multivariate Statistical Theory, especially Regression Analysis in Decision Making, and apply this knowledge in areas such as Business Forecasting Display knowledge of Optimization Theory as it pertains to Decision Making, and apply this knowledge in areas such as Portfolio Optimization Display knowledge of Risk Analysis in Decision Making, such as in Financial Investment Demonstrate awareness of the application of Decision Analysis in Decision Making, such as in Project Management Be confident users of package computer programs that are widely used in industry for Regression Analysis, Optimization, Decision Analysis and Risk Analysis Appreciate the wider implications of uncertainty in Decision Making and the related need for solutions that are both flexible and robust Literature is parts of the following books: Wisniewski, M. (2016), Quantitative methods for decision makers, 6th edn. Pearson. Albright, S.C., Winston, W.L. and Zappe, C. (2011), Data Analysis, Optimization, and Simulation Modeling (UK: Thomson Southwestern). ISBN 978-0538476768.

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