Suppose a firm operates in a perfectly competitive market and has the following cost function:

TC = 100 + 4Q + 2Q^2

where TC is the total cost of production, Q is the quantity of output produced, and all quantities are measured in thousands of units. The market price of the product is $15, and the firm can sell any quantity of output at this price. Calculate the profit-maximizing quantity of output, the firm's total revenue, total cost, and profit at this level of output.

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