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In the homework assignment that follows, you will do similar modeling and answer more extensive set of questions pertinent to the material you know about linear and quadratic functions. Suggested follow-up homework assignment : #1. Demand for Jeans (da's is taken from the Mixed Practice Problem# 21 in Section 2.2) The marketing manager at Levi Strauss wishes to find a function that relates the demand d for men's jeans. jeans and p, the price of the jeans. The following data were obtained based on a price history of the Price ($/pair), Demand (Pairs of jeans sold per day), d 20 60 22 57 23 56 23 53 27 52 29 49 30 44 Answer the following questions using Maple. Write your answers in Text mode. (a) Does the relation defined by the set of ordered pairs (p, d) represent a function? (b) Draw a scatter diagram of the data. (c) Find the line of best fit relating price and quantity demanded. (d) Interpret the slope. (e) Express the relationship found in part (c) using function notation. (f) What is the domain of the function? Take into account a real life setting of the problem. (g) How many jeans will be demanded if the price is $28 a pair? (h) What should be the price of jeans to sell at least 50 pairs per day? #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). C23#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). C23 Advertising, Total A Revenue, R 20 6101 22 6222 25 6350 25 5350 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