The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is given by the following equation.1P = -.3+21s?10+ 500(a) Find the amount of money the company should spend on advertising in order to yield a maximum profit.$(b) Find the point of diminishing returns.(s, P) =

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Answered: The profit P (in thousands of dollars)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

A polluting factory produces emissions whose damage (D) declines with distance. Robin works in this factory. The damage to Robin is D (r) = 1000/r, where r is distance in kilometer from the firm and D is damage in rupees. His cost of commuting from the factory to home is 20 per km. (i) Write an expression for Robin's total cost. (ii) At what distance from the factory will Robin live? (If he wants to minimize his total cost.) (iii) At what distance from the factory will Robin live if he receives full compensation for the damage he incurs? The minimum distance from the factory where the Robin can live is 0.2 kilometers. (8)
The amount of money in a fund F (in millions of dollars) can be approximated by the equation F=.634x2-5.17x+23.8, where x=5 corresponds to the year 2005. What year produced $72 million?
Population: Since birth rates are going down and people are living longer, the percent of the population that is 65 years old or older continues to rise. The percent of the U.S. population P that is at least 65 years old can be approximated by the equation P = 3.79(1.013), where t represents the number of years since 1900. (a) What percent of the population will be 65 years of age or older in the year 1999? Round the answer to 2 decimal places. Number % (b) Predict the year in which people ages 65 or older will represent 26% of the population if this trend continues. Number
L-1[ 12 ] = ? (s-3)+ %3D
The population of a town is given by the equation P = 1500(20.2t), here t is the time in years from 2000.In what year will the town's population be 2600 people?
The population of a town is given by the equation P = 3000 (20.1t), where t is the time in years from 2000. Find the population in the following years. (a) 2010 (b) 2030 2040
International Travel to the United States The number of millions of visitors to the United States can bemodeled by V(x) = 0.592x2 - 3.277x + 48.493,where x is the number of years after 2000.a. Use the model to find the increase in the numberof visitors to the United States from 2000 to 2008.b. When would the number of visitors exceed84,000,000, according to the model?
The value of a stock in 1950 is $1.40. It's value grows by 8% each year after 1950. a. Write an equation representing the value of the stock V(t), in dollars, t years after 1950 b. What does V(40) represent in this situation? Estimate the value of V(40).

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