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The production cost (£C) ofa bicycle in a factory is given by the function C=2x^2-200x+5100, where x is the number of bicycles manufactured per day, find the number of bicycles manufactured per day such that the production cost is a minimum.

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the minimum lies on the axis of symmetry

x min = -b / 2a = -(-200) / 2*2 = 50

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