(Solution Library) The profit P (in thousands of dollars) for a company spending and amount of s (in thousands of dollars) on advertising is P=-(s^3)/(10)+6s^2+400


Question: The profit P (in thousands of dollars) for a company spending and amount of s (in thousands of dollars) on advertising is

\[P=-\frac{{{s}^{3}}}{10}+6{{s}^{2}}+400\]
  1. Find the amount of money the company should spend on advertising in order to yield a maximum profit.
  2. The point of diminishing returns is the point at which the rate of growth of the profit begins to decline. Find the point of diminishing returns.

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