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%. 
Using the coefficient of variation rule,the firm should build
Definitions:
Social Planner
A theoretical decision-maker who aims to achieve the best possible outcomes for a society, considering all available information and societal preferences.
Producer Surplus
The difference between what producers are willing to sell a good for and the price they actually receive, signifying the benefit to producers from trade.
Supply Curve
A graphical representation showing the relationship between the price of a good or service and the quantity supplied, typically upward sloping.
Ticket Scalping
The practice of buying tickets to an event and reselling them at a higher price, often to profit from high demand and limited supply.
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