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Problem 40.) A member of the finance staff at a major publisher determines that the cost...

Problem 40.) A member of the finance staff at a major publisher determines that the cost in dollars of producing x copies of a new statistics text is about:

C(x) = 1200 + 20x -.005x2 for 0 ≤ x ≤ 200.

a.) What is the total cost for producing 100 copies of the book?

b.) How quickly is C(x) changing when x = 100? Interpret your answer in a sentence.

c.) Find the average cost per book of producing 100 books.

d.) Suppose we charge $120 per book and we produce and sell 100 copies. Would we make a profit? How much?
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