A Manufacturer of Electrical Machinery Is Located in a Cramped

A manufacturer of electrical machinery is located in a cramped, though low-rent, factory close to the center of a large city. The firm needs to expand, and it could do so in one of three ways: (1) remain where it is and install new equipment, (2) move to a suburban site in the same city, or (3) relocate in a different part of the country where labor is cheaper. Its decision will be influenced by the fact that one of the following will happen: (I) the government may introduce a program of equipment grants, (II) a new suburban highway may be built, or (III) the government may institute a policy of financial help to companies who move into regions of high unemployment. The value to the company of each combination is given in the following payoff matrix. $$\begin{array} { | l | l | l | l | } \hline & \text { I } & \text { II } & \text { III } \\\hline \mathbf { 1 } & 170 & 120 & 130 \\\hline \mathbf { 2 } & 130 & 220 & 140 \\\hline \mathbf { 3 } & 130 & 120 & 220 \\\hline\end{array}$$
If the manufacturer judges that there is a 10% probability that the government will go with option I, a 10% probability that they will go with option II, and a 80% probability that they will go with option III, what is the manufacturer's best option