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A Pacific Northwest Lumber Company Is Considering the Expansion of One

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A Pacific Northwest lumber company is considering the expansion of one of its mills. The question is whether to do it now, or wait for one year and re?consider. If they expand now, the major factors of importance are the state of the economy and the level of interest rates. The combination of these two factors results in five possible situations. If they do not expand now, only the state of the economy is important and three conditions characterize the possibilities. The following table summarizes the situation:
 Expand  Probabilities  Revenues  very favorable .2$80,000 favorable .2$60,000 neutral .1$20,000 unfavorable .3$20,000 very unfavorable .2$30,000 Don’t expand  expansion .2$50,000 steady .5$30,000 contraction 3$10,000\begin{array}{lcc}\underline{\text { Expand } }&\underline{\text { Probabilities }}&\underline{\text { Revenues }}\\\text { very favorable } & .2 & \$ 80,000 \\\text { favorable } & .2 & \$ 60,000 \\\text { neutral } & .1 & \$ 20,000 \\\text { unfavorable } & .3 & -\$ 20,000 \\\text { very unfavorable } & .2 & -\$ 30,000\\\underline{\text { Don't expand }}\\\text { expansion } & .2 & \$ 50,000 \\\text { steady } & .5 & \$ 30,000 \\\text { contraction } & 3 & \$ 10,000\end{array}
a. Using decision tree analysis, what is the expected value for expanding?
b. Using decision tree analysis, what is the expected value for not expanding?
c. Based on expected value, what should the company's decisions) be?


Definitions:

Suspending Disbelief

Temporarily accepting as plausible or realistic something that is fictional or unreal, often used in storytelling or entertainment.

Dropping Constraints

The process of eliminating restrictions or limitations that hinder progress or flexibility in a project, task, or strategy.

Unrealistic States

Situations or conditions that are impractical or unlikely to be achieved, often due to being overly ambitious or disconnected from reality.

Social Value

The impact of an organization's actions on society at large, especially in terms of welfare, sustainability, and community well-being.

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