(Section 1.10: Difference Quotients) 1.10.5 PART E: EVALUATING DIFFERENCE QUOTIENTSExample 2 (Form 1 of a Difference Quotient; Profit)A company sells widgets. Assume that all widgets produced are sold. Let Pbe the profit function for the company; Px()is the profit (in dollars) if xwidgets are produced and sold. Our model: =±x2+200x±5000. Find the average rate of change of profitbetween 60 and 90 widgets. WARNING 2:We will treat the domain of Pas 0,±²³), 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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