Managerial Economics & Business Strategy 7th Edition by Michael Baye, Stanley Brue, David MacPherson

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You are the manager of a firm that sells a "commodity" in a market that resembles perfect compedtion, and your cost function is C ( Q ) = Q + 2 Q₂. Unfortunately, due to production lags, you must make your output decision prior to knowing for certain the price that will prevail in the market. You believe that there is a 60 percent chance the market price will be $100 and a 40 percent chance it will be $200.
a. Calculate the expected market price.
b. What output should you produce in order to maximize expected profits
c. What are your expected profits