A Firm Selling Corn Is Operating in a Perfectly Competitive $$T C = 10 + 2 Q + Q ^ { 2 }$$

Essay

A firm selling corn is operating in a perfectly competitive market. The prevailing price in the market is $5 per bushel and the firm's total cost function is estimated to be $$T C = 10 + 2 Q + Q ^ { 2 }$$ . What is the optimal or profit maximizing output? Is the firm making economic profit?