As the selling price of a product increases, demand decreases. Fewer people will buy a product if it is more expensive. This is a very important concept. The demand equation for new iSmarts is given by p = 100 -0.05x, where p is the unit price (in dollars) of the iSmart and x is the number of units produced. We can determine the total revenue (money earned for selling x iSmarts) by multiplying the number of items we sell, and the price p. The total revenue obtained by producing and selling x iSmarts is given by R xp 100x - 0.05x². It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no matter how many iSmarts they "sell". In between, the graph is a parabola opening downward. Determine prices p that would keep revenue above 6320 dollars. Give your answers to 2 decimal places. The revenue will be above 6320 if price is between $ (higher price) How many iSmarts will be sold at these prices? Give the nearest whole number of iSmarts. After all, who would buy a fraction of an iSmart? At the lower price, (lower price) and $ iSmarts will be sold and at the higher price, iSmarts will be sold. Submit Question What price will maximize revenue, how many iSmarts is this, and what is the maximum revenue? The company will maximize revenue if they sell the iSmarts for $ They will sell iSmarts and will have a revenue of $ Question Help: Video Message instructor

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

As the selling price of a product increases, demand decreases. Fewer people will buy a product if it is more expensive. This is a very important concept. The demand equation for new iSmarts is given by P = 100-0.05x , where P is the unit price (in dollars) of the iSmart and X is the number of units produced. We can determine the total revenue (money earned for selling X iSmarts) by multiplying the number of items we sell, X and the price P. The total revenue obtained by producing and selling X iSmarts is given by R= xp =100x-0.05x^2

It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no matter how many iSmarts they "sell". In between, the graph is a parabola opening downward.

Determine prices  that would keep revenue above 6320 dollars. Give your answers to 2 decimal places.

The revenue will be above 6320 if price is between $ (lower price) and $ (higher price)

How many iSmarts will be sold at these prices? Give the nearest whole number of iSmarts. After all, who would buy a fraction of an iSmart?

At the lower price,  iSmarts will be sold and at the higher price,  iSmarts will be sold.

What price will maximize revenue, how many iSmarts is this, and what is the maximum revenue?

The company will maximize revenue if they sell the iSmarts for $. They will sell  iSmarts and will have a revenue of $

As the selling price of a product increases, demand decreases. Fewer people will buy a product if it is more
expensive. This is a very important concept. The demand equation for new iSmarts is given by
p = 100 -0.05x, where p is the unit price (in dollars) of the iSmart and x is the number of units
produced. We can determine the total revenue (money earned for selling x iSmarts) by multiplying the
number of items we sell, and the price p. The total revenue obtained by producing and selling x iSmarts
is given by R xp 100x - 0.05x².
It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will
buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no
matter how many iSmarts they "sell". In between, the graph is a parabola opening downward.
Determine prices p that would keep revenue above 6320 dollars. Give your answers to 2 decimal places.
The revenue will be above 6320 if price is between $
(higher price)
How many iSmarts will be sold at these prices? Give the nearest whole number of iSmarts. After all, who
would buy a fraction of an iSmart?
At the lower price,
(lower price) and $
iSmarts will be sold and at the higher price,
iSmarts will be sold.
Submit Question
What price will maximize revenue, how many iSmarts is this, and what is the maximum revenue?
The company will maximize revenue if they sell the iSmarts for $
They will sell
iSmarts and will have a revenue of $
Question Help: Video Message instructor
Transcribed Image Text:As the selling price of a product increases, demand decreases. Fewer people will buy a product if it is more expensive. This is a very important concept. The demand equation for new iSmarts is given by p = 100 -0.05x, where p is the unit price (in dollars) of the iSmart and x is the number of units produced. We can determine the total revenue (money earned for selling x iSmarts) by multiplying the number of items we sell, and the price p. The total revenue obtained by producing and selling x iSmarts is given by R xp 100x - 0.05x². It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no matter how many iSmarts they "sell". In between, the graph is a parabola opening downward. Determine prices p that would keep revenue above 6320 dollars. Give your answers to 2 decimal places. The revenue will be above 6320 if price is between $ (higher price) How many iSmarts will be sold at these prices? Give the nearest whole number of iSmarts. After all, who would buy a fraction of an iSmart? At the lower price, (lower price) and $ iSmarts will be sold and at the higher price, iSmarts will be sold. Submit Question What price will maximize revenue, how many iSmarts is this, and what is the maximum revenue? The company will maximize revenue if they sell the iSmarts for $ They will sell iSmarts and will have a revenue of $ Question Help: Video Message instructor
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,