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
Posted: Thu Jul 14, 2022 4:35 pm
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→∞limC(t) and t→∞limC′(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→∞limC(t)=$ million (Simplify your answer. Do not include the $ symbol in your answer.) t→∞limC′(t)=$ per year (Simplify your answer. Do not include the \$ symbol in your answer.)