Zhong Factory manufactures different types of computer motherboards in batches. The demand for one of its motherboards

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Zhong Factory manufactures different types of computer motherboards in batches. The demand for one of its motherboards is 200 units/day, while Zhong has a capacity of up to 1,000 motherboards/day. The factory operates 250 days per year. The setup cost is 800 Yuan, and the yearly holding cost per unit is 10 Yuan/motherboard. Compute the optimal batch size.

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