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.P = -101 3+ 27s2 + 650(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) = (

Answered: Image /qna-images/answer/c37477c8-0290-46c9-9a78-f7c413fff9ae.jpg

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section3.4: Slope-intercept Form

Problem 73PFA

See similar textbooks

Similar questions

A soccer stadium holds 62,000 spectators. With aticket price of$11, the average attendance has been26,000. When the price dropped to $9, the averageattendance rose to 31,000. Assuming that attendanceis linearly related to ticket price, what ticket pricewould maximize revenue?
The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?
A farmer finds that if she plants 75 trees per acre,each tree will yield 20 bushels of fruit. She estimatesthat for each additional tree planted per acre, theyield of each tree will decrease by 3 bushels. Howmany trees should she plant per acre to maximizeher harvest?
Crime prevention The number f(x) of incidents of family violence requiring police response appears to be related to x, the money spent on crisis intervention, by the equation f(x)=4300.005x. What expenditure would reduce the number of incidents to 350?
How do you find the v-intercept of the graph of 5x—y= 10?
A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?
In the following exercises, solve 464. For the function f(x)=25x281 , find: (a) the zeros of the function (b) the x-intercepts of the graph of the function (c) the y-intercept of the graph of the function.
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
In the following exercises, solve. 444. Shruti is going to throw a ball from the top of a cliff. When she throws the ball from 80 feet above the ground, the function h(t)=16t2+64t+80 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 80 feet above the ground. (c) the height the ball will be at t=2 seconds which is when the ball will be at its highest point.
In the following exercises, solve. 334. Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48 feet above the ground, the function h(t)=16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 48 feet above the ground. (c) the height the ball will be at t=1 seconds which is when the ball will be at its highest point.
In the following exercises, solve. Round answers to the nearest tenth. 286. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 100 feet of fencing. The quadratic function A(x)=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with acommission of 10% of your sales • Option B: Base salary of $19,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS