Automobile Production The number N of cars produced at a certain factory in one day after t hour

Name: Automobile Production The number N of cars produced at a certain factory in one day after t hours of operation is given by N(t)=100 t-5 t^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.
Uploaded: 2022-05-26T19:34:47-08:00
Duration: 4 min 52 s
Channel: Jackie Heldman
Description: Automobile Production The number N of cars produced at a certain factory in one day after t hours of operation is given by N(t)=100 t-5 t^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.

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Jackie Heldman · Accepted Answer

Step 1: Start with the given equation for the number of cars produced: $N(t) = 100t - 5t^2$.

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