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The profit function for a company producing x thousand items of a certain good (in hundreds...

The profit function for a company producing x thousand items of a certain good (in hundreds of dollars) is given by

P(x)= -1000 + 30x2 - x3,

where 1 < x < 50. Find the number of items that should be produced in order to maximize the profit. What is the maximum profit?

Math   Calculus   
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