Constructing a decision tree


Assignment:

Southland Corporation's decision to produce a new line of recreational products resulted in the need to construct either a small plant or a large plant. The selection of plant size depends on how the marketplace reacts to the new product line.  To conduct an analysis, marketing has decided to view the possible long-run demand as either low, medium, or high.  The following payoff table shows the projected profit in millions of dollars:

                                                           Long-Range Demand

Plant Size

Low

Medium

High

Small

150

200

200

Large

50

200

500

Q1. What is the decision to be made, and what is the chance event for Southland's problem?
Q2. Construct an influence diagram.
Q3. Construct a decision tree.
Q4. Recommend a decision based on the use of the optimistic, conservative, and minimax regret approaches.

Provide complete and step by step solution for the question and show calculations and use formulas.

 

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Mathematics: Constructing a decision tree
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