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A competitive firm has a single factory with the cost function c ( y ) = 4 y 2 + 89 and produces 28 units

A competitive firm has a single factory with the cost functionc(y) = 4y2+ 89 and produces 28 units in order to maximize profits. Although the price of output does not change, the firm decides to build a second factory with the cost functionc(y) = 8y2+ 39. To maximize its profits, how many units should it produce in the second factory?

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