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A Firm Is Considering the Decision of Investing in New  The econdmy \text { The econdmy }

question 17

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A firm is considering the decision of investing in new plants.The following is the profit payoff matrix under three conditions: it does not expand,it builds two new plants,or it builds one new plant.Three possible states of nature can exist--no change in the economy,the economy contracts and the economy grows.The firm has no idea of the probability of each state.  The econdmy \text { The econdmy }
 expands  contracts  unchanged  no new plants $20 million $3 million $4 million 1 new plant $30 million $6 million $6 million 2 new plants $40 million $12 million $8 million \begin{array}{l|ccc}& \text { expands } & \text { contracts } & \text { unchanged } \\\text { no new plants } & \$ 20 \text { million } & -\$ 3 \text { million } & \$ 4 \text { million } \\1 \text { new plant } & \$ 30 \text { million } & -\$ 6 \text { million } & \$ 6 \text { million } \\2 \text { new plants } & \$ 40 \text { million } & -\$ 12 \text { million } & \$ 8 \text { million }\end{array} What decision would be made using the maximum expected value rule?


Definitions:

Additive Strategy

A decision-making approach in which each alternative is rated on each of the important factors affecting the decision and the alternative with the highest overall rating is chosen.

Analogy Heuristic

A rule of thumb that applies a solution that solved a problem in the past to a current problem that shares many features with the past problem.

Algorithm

A systematic, step-by-step procedure, such as a mathematical formula, that guarantees a solution to a problem of a certain type if applied appropriately and executed properly.

Working Backwards

is a problem-solving strategy that involves starting with the goal and sequentially planning the steps in reverse to reach the starting point.

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