The number N of cars produced at a certain factory in one day after t hours of operation is given by N (t) 100t 5t 2 , 0 t 10 If the cost C (in dollars) of producing N cars is C(N) 15,000 8000 N, find the cost C as a function of the time t of operation of the factory ...

The number N of cars produced at a certain factory in one day after t hours of

Question:

The number N of cars produced at a certain factory in one day after t hours of operation is given by N (t) = 100t - 5t², 0 ≤ t ≤ 10. If the cost C (in dollars) of producing N cars is C(N) = 15,000 + 8000 N, find the cost C as a function of the time t of operation of the factory.

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