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

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$$\text { The economy }$
$\begin{array}{lccc} & \text { expands }(0.20) & \text { contracts }(0.40) & \text { unchanged }(0.40) \\ \text { no new plants } & \$ 10 \text { million } & -\$ 2 \text { million } & \$ 3 \text { million } \\1 \text { new plant } & \$ 20 \text { million } & -\$ 3 \text { million } & \$ 7 \text { million } \\2 \text { new plants } & \$ 30 \text { million } & -\$ 6 \text { million } & \$ 5 \text { million }\end{array}$
Using the coefficient of variation rule,the firm should build

A) no new plants.
B) one new plant.
C) two new plants.
D) cannot tell with this information