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A major factory has costs each month given by the equation C(x) = x^2 − 4x...

A major factory has costs each month given by the equation C(x) = x^2 − 4x + 5 where C is in terms of millions of dollars and x is the number of part time workers they employ in terms of 100. If the factory floor has room for at most 300 part time workers, how many part time workers should they employ if they wish to minimize their monthly costs? Only answers that utilize the tools of calculus will receive full credit.

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