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Suppose that the cost C, in dollars, of producing x items is given by c = 3x squared - 50x + 1800. How many items can be produced for $13,000?

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A market researcher predicted that the profit function for the first year of a new business would be P(x)=-0.3x^2+3x-15, where x is based on the number of items produced. Will it be possible for the business to break even in its first year?

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The sum of the squares of three consecutive integers is 194. What are the integers?

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