(PPE) in your province is regulated by the provincial government. The firm has total assets of $500,000. The revenue function for its output has been estimated as: R (Q) = 250Q - $0.15Q2. The cost function is estimated as: TC = $25,000 + $10Q a. If the company were unregulated, what price would it charge, what output would it produce, what would its profit be, and what rate of return would it earn over its assets? What will be its marginal revenue at the unregulated price? (Note: You can obtain the inverse demand equation from the revenue function realizing that price equals revenue (R (Q) per unit). b. The firm has proposed charging a price of $100 for each unit of output. If this price is charged, what will be the total profits and the rate of return earned on the firm's asset base? c. The government has ordered the firm to charge a price that will provide the firm no more than a 10 percent return on its assets. What price should the firm charge, what output will be produced, and what dollar level of profits will be earned