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(See Solution) DEMAND AND REVENUE The manager of a company that produces graphing calculators determines that when x thousand calculators are produced,

Question: 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

\[p(x)=\frac{1,000}{0.3 x^{2}+8}\]

dollars per calculator.

  1. At what rate is demand \(p(x)\) changing with respect to the level of production \(x\) when \(3,000(x=3)\) calculators are produced?
  2. The revenue derived from the sale of \(x\) thousand calculators is \(R(x)=x p(x)\) thousand dollars. At what rate is revenue changing when 3,000 calculators are produced? Is revenue increasing or decreasing at this level of production?

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