1. For this problem assume the market is a monopoly. The market demand for a type of carpet known as KP-7 has been estimated as: P = 40 - 0.250, The firm in this market has a total cost function given as: TC = 100 - 20Q +2Q2. a. Write an expression for the following cost concepts for the typical firm: i. Total Fixed Cost ii. Average Fixed Cost iii. Total Variable Cost iv. Average Variable Cost V. Average Total Cost vi_ Marginal Cost b. Determine the MR of the firm. C. Determine the profit maximizing output rate (Q) for the firm. d. What price will the firm charge for this level of output. e. Determine the firm's profit. f. Determine the consumer surplus under the monopolist. g. Determine the consumer surplus under perfect competition