Part 2 (13 marks) Assume that the cost function of a factory that producing Coronavirus nucleic acid test kits is C(q) = 3q + q + 30 Assume that it is in a competitive market. a. What is its average cost, average variable cost and marginal cost. (3 marks) b. Find the price when the firm produces 10 units of output. (2 marks) c. Find the short-run supply curve. And find the output that minimizes average cost. (4 marks) d. Now assume that the factory is a monopoly, and the demand curve of coronavirus nucleic acid test kits is P = 10-q. To support the production of coronavirus nucleic acid test kits, the government subsidizes the factory by its fixed cost, so you can now consider the cost function of the factory be C(q) =3q + q. Please find its optimal output level, price level and profit. (4 marks)