Alexa is starting a small business. She has done a great deal of research in supply, demand, expense, and revenue directly relating to what her business will be selling. Based on the data, she has determined her profit function to be P = –200p² – 200p + 12,025, where P represents profit and p represents price. Her calculations include the fact that a competitor has just entered the market and is selling the same product very successfully. Determine the roots of her profit quadratic equation. Are they real or complex? If complex, what does this imply about the profit equation?