A firm has two plants, X and Y. suppose that the cost of producing x units at

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A firm has two plants, X and Y. suppose that the cost of producing x units at plant X is x2+1200
Dollars and the cost of producing y units of the same product at plant Y is given by 3y2+800 dollars. If the firm has an order for 1200 units, how many should it produce at each plant to fill this order and minimize the cost of production?
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