You are a manager of a firm that sells a commodity in a market that resembles perfect competition and your cost function isC(Q) = 0.02Q2.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 40% chance that the market price will be $8 and a 60% chance that it will be $10.

What is the expected price for your product?

What output should you produce in order to maximize expected profits?

What are your anticipated profits?