Suppose you are the manager of a rm operating in a perfectly competitive industry. Your cost of production is given by C = 300 + 3:12 where q is output and C is total cost. a. Give an expression for the rm's marginal cost of production. b. Give an expression for the rm's variable cost. c. Give an expression for the rm's average total cost. d. Give an expression for the rm's average variable cost. e Suppose the price of the item is $120. What is the prot-maximizing quantity of output the rm should produce? f. What is the lowest price that will allow the firm to earn a non-negative prot in the long run