Question
#2 Advertising (data is taken from the Problem #92 in Chapter 2 Review) A small manufacturing firm collected the following data on advertising expenditures A (in thousands of dollars) and total revenue R (in thousands of dollars). Advertising, A Total Revenue, R 20 6101 22 6222 25 6350 25 6350 27 6379 28 6423 29 6360 31 6231 (a) Use command ScatterPlot to make a scatter diagram. Comment on the type of relation that may exist between the two variables. (b) Find the Quadratic function of best fit to the data. Express the solution using function notation. (c) Predict the total revenue when the optimal level of advertising is spent. In other words, use your quadratic model to approximate the maximum total revenue R given the present data (think of what vertex represents in this case). Use your current knowledge of Maple commands to present your solution showing all your work. Explain your steps to get a full credit. (d) Graph the scatter diagram and the best fit parabola together.
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