Question: 3 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/(0.3x² + 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 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?