A company that manufactures handbags has determined that the dollar cost of producing handbags per month is given by the quadratic equation:  c(x) = 0.007x2   + 56.49x + 4639  What must be the monthly production so that the company obtains the maximum profit, if each bag is sold for $84?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A company that manufactures handbags has determined that the dollar cost of producing handbags per month is given by the quadratic equation:  c(x) = 0.007x2   + 56.49x + 4639 

What must be the monthly production so that the company obtains the maximum profit, if each bag is sold for $84?

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