NEED HELP WITH THIS CALCULUS PROBLEMS. SHOW COMPLETE SOLUTIONS PLEASE.

Show complete solution for the following problems. 1. A firm's marginal cost function is MC = 6Q? - 2Q + 80, and the marginal revenue function is MR = 800 - 14Q, where Q is the number of units produced. a. Determine the marginal profit function M1. (3 points) b. Find the total cost TC function of producing Q units, when total cost is 6795 at a production level of 15 units. (3 points) C. Find the total revenue TR function. (3 points) d. Find the total profit " function. (3 points) e. Determine the maximum point for the production level that would yield the maximum profit. (4 points) f. Use definite integral to find the additional total profit fi of producing 4 extra units if 7 units are currently being produced. (4 points) 2. Identify the method of integration and use it to determine the indefinite integral for the following: (10 points each) J C(ox') / (5x - 8) I dx. 3. Show the graphical illustration of the price function of demand and supply (8 points). Calculate the consumer's surplus, the producers' surplus and the total surplus. (12 points) PD = 113 -Q Ps = Q2 + 2Q + 1