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# P11Ans - Project 11 MAC 2233 In this project we explore the...

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Project 11 MAC 2233 In this project, we explore the average and instantaneous rates of change of total cost, total rev- enue, and total profit with respect to the number x of items produced/sold. In particular, note the interpretations of the calculations, and how they might impact important decisions. 1. Suppose the total cost C ( x ) of producing x books is C ( x ) = 1200 + x 2 - 20 x , represented by \$ 1200 in storage costs, x 2 dollars for materials and labor, and a \$ 20 rebate from the govern- ment for each book produced. What is the total cost of producing 0 books? 20 books? What is the average change in cost per book of producing the first twenty books? avg change: - 20 dollars per book What is the average change in total cost as x changes from 25 to 30 . What does this imply about the extra cost incurred by producing each of books number 26 through 30 ? avg change: 35 dollars per book What is the total cost of producing 35 books? 36 books? What, then, is the extra cost incurred from producing the 36 th book?

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P11Ans - Project 11 MAC 2233 In this project we explore the...

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