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The table shows the approximate increase in sales that an additional $100 spent on advertising, at various levels, can be expected to generate Increase in Revenue Due to an Extra $100 Advertising When Advertising Is Already at a Given Level Expenditures, x (hundred dollars) 25 Revenue Increase, R' (thousand dollars)

The table shows the approximate increase in sales that an additional $100 spent on advertising, at various levels, can be expected to generate Increase in Revenue Due to an Extra $100 Advertising When Advertising Is Already at a Given Level Expenditures, x (hundred dollars) 25 Revenue Increase, R' (thousand dollars)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The table shows the approximate increase in sales that an additional $100 spent on advertising, at various levels, can be expected to generate. Increase in Revenue Due to an Extra $100 Advertising When Advertising Is Already at a Given Level Expenditures, x (hundred dollars) 25 50 Revenue Increase, R' (thousand dollars) 4 59 75 94 100 107 125 104 150 78 175 33 (a) Find the function of the quadratic model that gives the approximate increase in revenue in thousand dollars per hundred dollars that occurs when an additional $100 is spent on advertising, where x is the amount in hundred dollars already spent on advertising, with data from 25 sxs 175. (Round all numerical values to three decimal places.) R'(x) = thousand dollars per hundred dollars (b) Use the model in part (a) to write the function of the model for the total sales revenue R in thousand dollars when x hundred dollars is spent on advertising. Use the fact that revenue is approximately $876,000 when $5000 is spent on advertising. (Round all numerical values to three decimal places.) R(x) = thousand dollars (c) The managers of the business are considering an increase in advertising expenditures from the current level of $8000 to $13,000. What effect will this decision have on sales revenue? (Round your answer to the nearest integer.) Sales revenue will -Select- by approximately $ thousand.
Transcribed Image Text:The table shows the approximate increase in sales that an additional $100 spent on advertising, at various levels, can be expected to generate. Increase in Revenue Due to an Extra $100 Advertising When Advertising Is Already at a Given Level Expenditures, x (hundred dollars) 25 50 Revenue Increase, R' (thousand dollars) 4 59 75 94 100 107 125 104 150 78 175 33 (a) Find the function of the quadratic model that gives the approximate increase in revenue in thousand dollars per hundred dollars that occurs when an additional $100 is spent on advertising, where x is the amount in hundred dollars already spent on advertising, with data from 25 sxs 175. (Round all numerical values to three decimal places.) R'(x) = thousand dollars per hundred dollars (b) Use the model in part (a) to write the function of the model for the total sales revenue R in thousand dollars when x hundred dollars is spent on advertising. Use the fact that revenue is approximately $876,000 when $5000 is spent on advertising. (Round all numerical values to three decimal places.) R(x) = thousand dollars (c) The managers of the business are considering an increase in advertising expenditures from the current level of $8000 to $13,000. What effect will this decision have on sales revenue? (Round your answer to the nearest integer.) Sales revenue will -Select- by approximately $ thousand.
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