The total profit (in dollars) from the sale of x answering machines is P(x) = = 20x-0.6x - 220. (A) Find the exact profit from the sale of the 26th machine. Exact Profit on 26th machine = (B) Use the marginal profit to approximate the profit from the sale of the 26th machine. Approx. profit on 26th machine = Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x)=5000+3x+.01x+.0002x3. (a) Find the marginal cost function. (b) Find C'(100). (What does this mean?) (c) Find the cost of manufacturing the 101st pair of jeans. (a) C'(x) (b) C' (100) = dollars/pair (c) Cost = dollars Find the equation of the line tangent to the graph of y = 4e at x = 4. Tangent Line: y = - Suppose that f(x) = 13e* + 2 ln(x). Find f'(3). f'(3) = 5x7 (x+x)e*