Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The total revenue $ R $ earned (in thousands of dollars) from manufacturing handheld video games is given by

$ R(p) = -25p^2 + 1200p $

where $ p $ is the price per unit (in dollars).

(a) Find the revenues when the price per unit is $ \$ 20 $, $ \$25 $, and $ \$30 $.(b) Find the unit price that will yield a maximum revenue. What is the maximum revenue? Explainyour results.

a) $14000,14375,13500$b) 2414400

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Oregon State University

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

12:41

Revenue The total revenue …

05:00

Maximizing Revenue The pri…

03:13

The monthly revenue $R$ (i…

05:11

01:45

Maximizing Revenue Suppose…

02:16

Maximizing Revenue. When p…

06:14

The total revenue $R$ (in …

01:14

Revenue A model for a comp…

02:38

Suppose that the manufactu…

04:06

02:32

Graph the function and spe…

02:04

Revenue A manufacturer fin…

01:02

03:31

Revenue Suppose that the m…

01:20

Suppose that the revenue g…

02:12

Solve each problem.Max…

01:43

Maximizing Revenue The Joh…

03:06

Suppose that the manufact…

04:04

03:39

The total revenue $ R $ ea…

So for this question, were given that the revenue function in terms of press is equal to negative 25 Proscar. Where'd those 1200 times surprise Summer has to determine what the revenue is at a process 2025 $30. So all we have to do is something Use a calculator and input these values for the press. So when we have a process $20 um, in putting this for pee is gonna give us a profit of 14,000. Also, all we have to do is plug in 20 for the process. Um, now, for 25 we played in 25 for P. We're gonna get a profit. I mean, a revenue 14,375. And lastly for process equal to 30 we're gonna have a profit of 13,000 500. So the prophet has actually gone down, Um, from 25 to 30. So for part being, we now would have on the maximum revenue. So since this is a downward parabola, it's gonna look something, something like this, because it's a negative a term it's gonna look something like this. And to find Max Marino, we need to find the bar checks of the problem. So to find the Vertex, um, we need to do cross is equal to negative b over to A This is the formula Family X coordinate of the process of the X coordinate of the vortex of the proble. So be here is 1200 so we're gonna have negative 1200 divided by two times a so two times negative, 25 negative. 50. So we're going to have that. The process or maximum revenue occurs is 24. Okay, Now all we need do to find the maximum revenue is we need to again 24. So prosecutor 24. So when we plug in 24 for P and we're gonna get the maximum revenue is 14,000 or $100. So these are our final answers.

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

Revenue The total revenue $R$ (in thousands of dollars) earned from manufact…

Maximizing Revenue The price $p$ (in dollars) and the quantity $x$ sold of a…

The monthly revenue $R$ (in thousands of dollars) from the sales of a digita…

Maximizing Revenue Suppose that the manufacturer of a gas clothes dryer has …

Maximizing Revenue. When priced at $\$ 30$ each, a toy has annual sales of $…

The total revenue $R$ (in dollars) earned by a dog walking service is given …

Revenue A model for a company's revenue is $R=-15 p^{2}+300 p+12,000$ w…

Suppose that the manufacturer of a gas clothes dryer has found that, when th…

Graph the function and specify the domain, range, intercept(s), and asymptot…

Revenue A manufacturer finds that the revenue generated by selling $x$ units…

Revenue Suppose that the manufacturer of a gas clothes dryer has found that …

Suppose that the revenue generated by selling $x$ units of a certain commodi…

Solve each problem.Maximizing Revenue Suppose the revenue $R$ in thousan…

Maximizing Revenue The John Deere company has found that the revenue, in dol…

Suppose that the manufacturer of a gas clothes dryer has found that when th…

The total revenue $ R $ earned per day (in dollars) from a pet-sitting servi…

04:34

From 1950 through 2005, the per capita consumption $ C $ of cigarettes by Am…

01:19

Show that a conic with focus at the origin, eccentricity $ e $, and directri…

03:26

In Exercises 17-34, sketch the graph of the quadratic function without using…

13:53

Solve the differential equation using the method of variation of parameters.…

01:26

In Exercises 47 - 54, write the function in the form $ f(x) = (x - k)q(x) + …

05:21

Solve the boundary-value problem, if possible.

$ y" + 4y' …

02:10

The profit $ P $ (in hundreds of dollars) that a company makes depends on th…

00:44

In Exercises 35-42, use a graphing utility to graph the quadratic function. …

11:47

Solve the differential equation or initial-value problem using the method of…

01:48

Solve the differential equation.

$ \dfrac{d^2R}{dt^2} + 6 \dfrac{dR}…