Business: advertising. The business of manufacturing and selling bowling balls in one of frequent changes. Companies introduce new models to market about every 3 to 4 months. Typically, a new model is created because of advances in technology such as new surface stock or a new way to place weight blocks in a ball. To decide how to best use advertising dollars, companies track sales in relation to amount spent on advertising. Suppose a company has the following data from past sales. Amount Spent on Advertising (in thousands) Number of Bowling Balls Sold, N 0 $ 8 50 13,115 100 19,780 150 22,612 200 20,083 250 12,430 300 4 a. Use regression to fit linear, quadratic, cubic, and quartic functions to the data. b. Determine the domain of the function in part (a) that fits the data and the problem situation. How did you arrive at your answer? c. Determine the maximum value of the function over the domain. How much should the company spend on advertising a new model in order to maximize the number of bowling balls sold?
Business: advertising. The business of manufacturing and selling bowling balls in one of frequent changes. Companies introduce new models to market about every 3 to 4 months. Typically, a new model is created because of advances in technology such as new surface stock or a new way to place weight blocks in a ball. To decide how to best use advertising dollars, companies track sales in relation to amount spent on advertising. Suppose a company has the following data from past sales. Amount Spent on Advertising (in thousands) Number of Bowling Balls Sold, N 0 $ 8 50 13,115 100 19,780 150 22,612 200 20,083 250 12,430 300 4 a. Use regression to fit linear, quadratic, cubic, and quartic functions to the data. b. Determine the domain of the function in part (a) that fits the data and the problem situation. How did you arrive at your answer? c. Determine the maximum value of the function over the domain. How much should the company spend on advertising a new model in order to maximize the number of bowling balls sold?
Solution Summary: The author explains how to calculate the linear, quadratic, cubic, and quartic functions of the provided data.
Business: advertising. The business of manufacturing and selling bowling balls in one of frequent changes. Companies introduce new models to market about every 3 to 4 months. Typically, a new model is created because of advances in technology such as new surface stock or a new way to place weight blocks in a ball. To decide how to best use advertising dollars, companies track sales in relation to amount spent on advertising. Suppose a company has the following data from past sales.
Amount Spent on Advertising (in thousands)
Number of Bowling Balls Sold, N
0 $
8
50
13,115
100
19,780
150
22,612
200
20,083
250
12,430
300
4
a. Use regression to fit linear, quadratic, cubic, and quartic functions to the data.
b. Determine the domain of the function in part (a) that fits the data and the problem situation. How did you arrive at your answer?
c. Determine the maximum value of the function over the domain. How much should the company spend on advertising a new model in order to maximize the number of bowling balls sold?
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.
write it down for better understanding please
1. Suppose F(t) gives the temperature in degrees Fahrenheit t minutes after 1pm. With a
complete sentence, interpret the equation F(10) 68. (Remember this means explaining
the meaning of the equation without using any mathy vocabulary!) Include units. (3 points)
=
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