Develop a decision tree with expected values at probability

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Assignment:

Decision Analysis Case Study

Problem Statement

Jim Kelly, a corporate raider, has acquired a textile company and is contemplating the future of one of its major plants, located in Downtown Silver Spring, Maryland. Three alternatives decisions are being considered: (1) expand the plant and produce and produce lightweight, durable materials for possible sales to the military, a market with little foreign competition; (2) maintain the status quo at the plant, continuing production of textile goods that are subject to heavy foreign competition; or (3) sell the plant now. If one of the first two alternatives is chosen, the plant will still be sold at the end of a year. The amount of profit that could be earned by selling the plant in a year depends on foreign market conditions, including the status of a trade embargo bill in Congress. The following payoff table describes this decision.

 

State of Nature

 

Decision

Good Foreign Competitive Conditions

Poor Foreign Competitive Condition

Expand

$900,000

$600,000

Maintain status quo

1,400,000

-150,000

Sell now

420,000

420,000

a. Determine the best decision by using the following criteria:

1. Maximax

2. Maximin

3. Minimax regret

4. Huwicz (α = 0.3)

5. Equal likelihood

b. Assume that it is now possible to estimate a probability of 0.70 that good foreign competitive conditions will exist and a probability of 0.30 that poor conditions will exist. Determine the best decision by using expected value and expected opportunity loss.

c. Compute the expected value of perfect information

d. Develop a decision tree, with expected values at the probability nodes.

Reference no: EM133201934

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