A pharmaceutical company, Drugs 'R Us, is deciding whether to develop a new drug; if they do, they will receive a patent to be the only company able to sell the drug for one year. The market demand for the drug in year 1 will be P = 150 - 0.5Q. From this demand function, the marginal revenue for a monopolist can be derived as MR = 150 - Q. The total cost of producing the drug will be C = 2Q²and the marginal cost will be MC = 4Q.

In year 1, how many units of the drug would Drugs 'R Us produce and what price would they charge for the drug?Please show your work.