The income that a company receives from selling an itemis called the revenue. Production

Chapter 2, Problem 3

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The income that a company receives from selling an itemis called the revenue. Production decisions are based,in part, on how revenue changes if the quantity soldchanges; that is, on the rate of change of revenue withrespect to quantity sold. Suppose a companys revenue,in dollars, is given by R(q) = 100q 10q2, where q isthe quantity sold in kilograms.(a) Calculate the average rate of change of R with respectto q over the intervals 1 q 2 and2 q 3.(b) By choosing small values for h, estimate the instantaneousrate of change of revenue with respect tochange in quantity at q = 2 kilograms.

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