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A Firm Is Considering the Decision of Investing in New \quad

question 26

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A firm is considering the decision of investing in new plants.It can choose no new plants,one new plant,or two new plants.The following table gives the profits for each choice under three states of the economy.The manager assigns the following probabilities to each state of the economy: the economy expands,20%,the economy contracts,40%,or the economy is unchanged 40%. \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  The economy \text { The economy }
 expands (0.20)  contracts (0.40)  unchanged (0.40)  no new plants $10 million $2 million $3 million 1 new plant $20 million $3 million $7 million 2 new plants $30 million $6 million $5 million \begin{array}{lccc} & \text { expands }(0.20) & \text { contracts }(0.40) & \text { unchanged }(0.40) \\ \text { no new plants } & \$ 10 \text { million } & -\$ 2 \text { million } & \$ 3 \text { million } \\1 \text { new plant } & \$ 20 \text { million } & -\$ 3 \text { million } & \$ 7 \text { million } \\2 \text { new plants } & \$ 30 \text { million } & -\$ 6 \text { million } & \$ 5 \text { million }\end{array}
Using the mean-variance rules,which decision is correct?


Definitions:

Elastic

Describes a situation in which the quantity demanded or supplied of a good is highly responsive to changes in price.

Growth Rate

The percentage increase of a specific variable within a specified time frame, commonly used to measure economic growth, population increase, or company expansion.

Durable Equipment

Equipment that is designed for a long useful life, typically used in business, industrial, or medical settings.

Vertical Axis

In graph theory and visuals, the vertical axis is typically the y-axis, representing dependent variables or metrics that can be measured against the independent variables on the horizontal axis.

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