Find a) any critical values and b) any relative extrema. f(x) = x% 8x + 20 a) Select the correct choice below and, if necessary, fill in the answer box within your choice. (O A. The critical value(s) of the function is/are (Use a comma to separate answers as needed.) () B. The function has no critical values. b) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The relative minimum point(s) is/are and the relative maximum point(s) is/are (Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) O B. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O C. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) () D. There are no relative minimum points and there are no relative maximum points. d Find the general form of the function that satisfies & TA. _ At)=| | A company's total cost, in millions of dollars, is given by C(t) = 60 -40e" where t is the time in years since the start-up date. The graph of C(t) is shown to the Ay 150- right. Find each of the following. a) The marginal cost, C'(t) b) C'(0) c) C'(5) 75- d) Find lim C(t) and lim C'(t). t-+ 0o 1-+ 00 0- 15 30 a) C'(t) = (Do not include the $ symbol in your answer.) b) C'(0) = $ million per year (Simplify your answer. Do not include the $ symbol in your answer.) c) C'(5) = $ per year (Simplify your answer. Round to the nearest thousand as needed. Do not include the $ symbol in your answer.) d) lim C(t) = $ million 1 -+ 00 (Simplify your answer. Do not include the $ symbol in your answer.) lim C' (t) = $ per year 1 -+ 00 (Simplify your answer. Do not include the $ symbol in your answer.)