Suppose that a company has received an order for 200 units of its product and wishes to distribute its production between two of its plants, Plant 1 and Plant 2. Let x and y be the outputs of plants 1 and 2, respectively, and suppose that the function of total cost is given by c = f(x,y) = 2x2 + xy + y2 + 200 How should production be distributed to minimize costs? What would you do if now instead of 1 restriction, you had 2 restrictions?

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