You are the manager of a firm that sells a commodity in a market that resembles perfect competition, and your cost function is C(Q) = 3Q + 4Q?. 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 65% chance the market price will be £175 and a 35% chance it will be £545. (a) Calculate the expected market price. (b) What output should you produce in order to maximise expected profits? (c) What are your expected profits?

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You are the manager of a firm that sells a commodity in a market that resembles perfect competition, and your cost function is C(Q) = 3Q + 4Q?. 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 65% chance the market price will be £175 and a 35% chance it will be £545. (a) Calculate the expected market price. (b) What output should you produce in order to maximise expected profits? (c) What are your expected profits?
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