Question

A store is selling an item, and if they sell (x) of that item
per month, its profit (dollars) will be P(x)= -30x^{2} +
1500x -15750

A. Find any break even points.

B. How many items need to be produced and sold in order to maximize
profit?

C. Find the maximum profit.

Answer #1

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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?

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8
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