(All Steps) Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where p=-0.05x+38
Question: Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where
\[p=-0.05x+38\]The cost of producing x hundred units is
\[C\left( x \right)=0.02{{x}^{2}}+3x+574.77\]- Express the profit P obtained from the sale of x units as a function of x
- Use the profit curve found in (a) to find the level of production x that results in the maximum profit. What unit price corresponds to the maximum profit?
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