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Question on competitive market to maximize profit

Assume you are the manager of a watch making firm operating into a competitive market.  Your cost of production is specified by C = 100 + Q2, Here Q is the level of output and C is net cost.  (The marginal cost of production is 2Q.  The fixed cost of production is equal to $100.) If the price of watches is $60, how several watches should you produce to maximize profit?

Profits are maximized where marginal cost is equivalent to marginal revenue.  Here, marginal revenue is equivalent to $60; recall that price equals marginal revenue in a competitive market:

                                                                    60 = 2Q, or Q = 30.

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