Question: You are the manager of a firm that sells a "commodity" in a market that resembles perfect competition, and your cost function is \(C\left( Q \right)=Q+2{{Q}^{2}}\) . 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 60 percent chance the market price will be $100 and a 40 percent chance it will be $200.

1. Calculate the expected market price.
2. What output should you produce in order to maximize expected profits
3. What are your expected profits?

Price: $2.99

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Deliverable: Word Document