(See Solution) A company determines that if x thousand dollars are spent on advertising a certain product, then S(x) units of the product will be sold,


Question: A company determines that if x thousand dollars are spent on advertising a certain product, then \(S\left( x \right)\) units of the product will be sold, where

\[S\left( x \right)=\frac{200x+1500}{0.02{{x}^{2}}+5}\]
  1. Sketch the graph of \(S\left( x \right)\).
  2. How many units will be sold if nothing is spent on advertising?
  3. How much should be spent on advertising to maximize sales? What is the maximum sales level?

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