You are a manager of a firm that sells a commodity in a market that resembles perfect competition and your cost function isC(Q) = 0.04Q^2.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 50% chance that the market price will be $8 and a 50% chance that it will be $12.

What is the expected price of your product?