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A company's total cost, in millions of dollars, is given by C(t) = 100 -60ewhere t is the time in years since the start-up date.

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A company's total cost, in millions of dollars, is given by C(t) = 100 -60e"where t is the time in years since the start-up date. The graph of C(t) is shown to the right. Find each of the following. 150- a) The marginal cost, C'(t) b) C'(0) O c) C'(4) d) Find lim C(t) and lim c'(t). 75- t - + 0o 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'(4) = $ 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.) 1-+00 lim c'(1) = $ per year (Simplify your answer. Do not include the $ symbol in your answer.)

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