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A company has found that the rate of change in the cost of a new production line (in thousands of dollars per year) is C(x)
A company has found that the rate of change in the cost of a new production line (in thousands of dollars per year) is C(x) = 60x / 5x^2 +1, where x is the number of years the line is in use. (a) If the fixed costs are $10,000, find the total cost function for the production line. (b) The company will add a new production line if the total cost of this one for the first five years stays below $40,000. Should the company add the new line?
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