Homework question Need help

label Calculus
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Automobile Production The number N of cars produced at a certain factory in 1 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 + 8000N, find the cost C as a function of the time t of operation of the factory.

Jul 11th, 2015

Thank you for the opportunity to help you with your question!

N=100t - 5t^2    

C=15000+8000N

therefore,

C=15000+8000(100t-5t^2)

C=15000+800000t-40000t^2


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 11th, 2015

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