firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a 0.20        probability that demand will be low and 0.80 that demand will be high. If the firm builds a small facility and demand turns out to be low, the Net Present Value (NPV) will be $42M. If demand turns out to be high,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a 0.20

       probability that demand will be low and 0.80 that demand will be high.

If the firm builds a small facility and demand turns out to be low, the Net Present Value (NPV) will be $42M. If

demand turns out to be high, the firm can either subcontract and realize the NPV of $42M or expand greatly for a Net Present Value of $48M.

            The firm could build a medium size facility as a hedge: if demand turns out to be low, its NPV is estimated at

$22M; if demand turns out to be high, the firm could do nothing and realize a NPV of $46M, or could expand and realize a NPV of $50M.

If the firm builds a large facility and demand is low, the NPV will be ($20M), whereas high demand will result in a NPV of $72M.

  1. Analyze and solve this problem using a decision tree
  2. What is the Maximin Alternative                                  and                   c) Compute the EVPI
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