Share
Explore BrainMass

# Rate of Change of Demand and Revenue

The Manager of a company that produces graphing calculators determines that when x thousand calculators are produced, they will all be sold when the price is p(x)=1,000/0.3x^2+8 dollars per calculator.

A. At what rate is demand p(x) changing with respect to the level of production x when 3,000(x=3) calculators are produced?

B. The revenue derived from the sale of x thousand calculators is R(x)=xp(x) thousand dollars. At what rate is revenue changing when 3,000 calculators are produced? Is revenue increasing or decreasing at this level of production?

#### Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.
===============================================================================

The Manager ...

#### Solution Summary

I have provided step by step solution to both parts of this problem. Answer is clearly explained. Please down load them with confident.

\$2.19