An Entrepreneur Is Considering Building a New Restaurant $\$ 70,000$ ; If the Restaurant Is Built and There Is a That

An entrepreneur is considering building a new restaurant. She knows that if the restaurant is built and the economy improves there will be a profit next year of $\$ 70,000$ ; if the restaurant is built and there is a recession, there will be a loss next year of $\$ 10,000$ . If she buys a particular established restaurant and the economy improves, there will be a profit of $\$ 40,000$ next year; if she buys the established restaurant and there is a recession, there will be a profit of $\$ 8,000$ next year.
-For the situation above, find the expected profit of perfect information if the probability of a recession is $\frac{1}{3}$ .