Arthur, the manager of a furniture factory, finds that the cost of producing q bookcases during the morning production run is C(q) q 2 q 500 dollars On a typical workday, q(t) 25t bookcases are produced during the first t hours of a production run for 0 t 5 a Express the production cost C in terms ...

Arthur, the manager of a furniture factory, finds that the cost of producing q bookcases during the

Question:

Arthur, the manager of a furniture factory, finds that the cost of producing q bookcases during the morning production run is C(q) = q² + q + 500 dollars. On a typical workday, q(t) = 25t bookcases are produced during the first t hours of a production run for 0 ≤ t ≤ 5.

a. Express the production cost C in terms of t.

b. How much will have been spent on production by the end of the 3rd hour? What is the average cost of production during the first 3 hours?

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