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Application of Derivatives Maximum Revenues

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Find the number of units x that produce a maximum revinue R.



Find the number of unites x that produce the minimum average cost per unit C.



find the amounts of advertising that maximizes the profit P. (s and p are measeured in thousands of dollars.) Find the point of diminishing returns.

P= -2s^3+35s^2-100s+200


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The applications of derivatives for maximum revenues are determined.

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find the number of units x that produce a maximum revinue R.

dR/dx = 800 - 0.4x = 0 implies x = 800/0.4 = 2000

dR/dx = 96x - 0.6x^2 = 0 implies x = 96/0.6 = ...

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