9) The total accumulated costs C(t) and revenues R(7) (in thousands of doll satisfy C'(t) = 3 and R'(t) = 20e-0.1t where t is the number of years that the mine has been in operation. Find the useful life of the mine, to the nearest year. What is the total profit accumulated during the useful life of the mine?

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Chapter6: Proudction Costs
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9) The total accumulated costs C(t) and revenues R(t) ( in thousands of dollars), respectively, for a coal mine
satisfy C' (t) = 3 and R'(t) = 20e-0.1t
where t is the number of years that the mine has been in operation. Find the useful life of the mine, to the
nearest year. What is the total profit accumulated during the useful life of the mine?
Transcribed Image Text:9) The total accumulated costs C(t) and revenues R(t) ( in thousands of dollars), respectively, for a coal mine satisfy C' (t) = 3 and R'(t) = 20e-0.1t where t is the number of years that the mine has been in operation. Find the useful life of the mine, to the nearest year. What is the total profit accumulated during the useful life of the mine?
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