The manager of a store recorded the annual sales S (in thousands of dollars) of a product

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The manager of a store recorded the annual sales S (in thousands of dollars) of a product over a period of 7 years, as shown in the table, where t is the time in years, with t = 8 corresponding to 2008. 


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(a) Use the regression capabilities of a graphing utility to find a model of the form S = at3 + bt2 + ct + d for the data.


(b) Use a graphing utility to plot the data and graph the model.


(c) Use calculus and the model to find the time t when sales were increasing at the greatest rate.


(d) Do you think the model would be accurate for predicting future sales? Explain.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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