A company decides to begin making and selling memory sticks for computers. The price function is given as follows: 30000 P = x + 2' where a is the number of memory sticks that can be sold every week at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 2500 dollars with an additional cost of 22 dollars per unit. (a) Find the revenue function in terms of x. R(x)= 30000x * + 2 (b) Use the financial department's estimates to determine the cost function in terms of . C(x) = 2500 + 22x (c) Find the profit function in terms of . P(x) = 30000x 2500 - 22x *+2 (d) Find the marginal profit when 40 memory sticks are produced and sold each week. Marginal profit =Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans is C(x) = 2000 + 3x + .01x2 +.0002x-3. (a) Find the marginal cost function. (b) Find C(100). (What does this mean?) (c) Find the cost of manufacturing the 101" pair of jeans. (a) C' (x) = 3 + 0.02x + 0.0006x2 (b) C' (100) 1 1 dollars/pair (c) Cost = dollars