3. Given that lim et-1 t-07+2te-2t-7et , use the Rules of Limits and 28 differentiation (for reducing the expression) to evaluate lim{[h(t)][2t — }}]}, 1. Digicel's profit function for the sale of $21 is as follows: (q)=-2q²+350q-150 The selling price per S21 is given by the function: p = 600-2q Where q represents the number of S21 (in thousands), cost and revenue are in thousand of dollars. Using the information provided above, determine the following: a. Total Cost function. b. Marginal Cost (MC) when 4000 S21 are produced. c. Give an interpretation of your answer from Part b. above. d. The number of S21 that must be sold for Digicel to make a Marginal Revenue (MR) of $300,000.00. e. At what level of quantity will the firm maximize its profit. 2. Differentiate the following: a. q(p) = 3e³ - 2p b. y In (5p2-√P)