Precalc0110to0111-page5 - (Section 1.10 Difference...

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(Section 1.10: Difference Quotients) 1.10.5 PART E: EVALUATING DIFFERENCE QUOTIENTS Example 2 (Form 1 of a Difference Quotient; Profit) A company sells widgets. Assume that all widgets produced are sold. Let P be the profit function for the company; Px () is the profit (in dollars) if x widgets are produced and sold. Our model: = ± x 2 + 200 x ± 5000 . Find the average rate of change of profit between 60 and 90 widgets. WARNING 2 : We will treat the domain of P as 0, ± ² ³ ) , even though one could argue that the domain should only consist of integers. Be aware of this issue with applications such as these.
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