Question: An electric power plant uses solid waste for fuel in the production of electricity. Total cost in dollars per hour to produce electricity is: TC = 12 + 0.3X + 0.27X2, where X is in megawatts. Total revenue in dollars per hour from the sale of electricity is: TR = 15X - 0.2X2
1. Find the value of x that gives maximum profit?
2. What is the maximum profit that can be achieved?