A company's total cost, in millions of dollars, is given by C(t)=80−40e−t where t is the time in years since the start-u

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A Company S Total Cost In Millions Of Dollars Is Given By C T 80 40e T Where T Is The Time In Years Since The Start U 1 (43.67 KiB) Viewed 15 times

A company's total cost, in millions of dollars, is given by C(t)=80−40e−t 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. a) The marginal cost, C′(t) b) C′(0) c) C′(3) d) Find t→∞lim​C(t) and t→∞lim​C′(t). 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′(3)=$ per year (Simplify your answer. Round to the nearest thousand as needed. Do not include the $ symbol in your answer.) d) t→∞lim​C(t)=$ million (Simplify your answer. Do not include the $ symbol in your answer.) t→∞lim​C′(t)=$ per year (Simplify your answer. Do not include the \$ symbol in your answer.)