Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.