Problem 1 - Section 2.7 The price-demand equation and the cost function for printers are given by m = 9, 000 30p C(22) = 150, 000 + 30$ vhere :1: is the number of printers that can be sold at a price of $19 per printer and C(33) is the total :ost (in dollars) of producing 16 printers. Answer each. a) From the price-demand function, solve for p. Find the domain of this function. b) Find the marginal cost. c) Find the revenue function and state its domain. (1) Find the marginal revenue. e) Find R'(3,000) and R'(6,000). Interpret these values in the context of the problem with appropriate units. Problem 2 - Section 3.2 a Find the equation of the tangent line to the graph of f(x) = 1 + Inx at the point x = e. b) Use the properties of logarithms to rewrite parts of the function. Then find the derivative of the function. 7 g(20) = 5x* + In In 8xProblem 3 - Section 3.3 Find each derivative. You do not have to simplify. Make sure your work is clear so I can see how you used the derivative rule. _ 3\\/4 2:2 _m25 a) f (56) ; use quotient rule b) 9(33) 2 8:1: log 51:7 c) p(m) = emhr); assume Mac) is a differentiable function. 11123 d) 9(56) = Mm) ; assume Mac) is a differentiable function