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A company has a plant in Portland and a plant in Baltimore. The firm is committed...

A company has a plant in Portland and a plant in Baltimore. The firm is committed to produce a total of 146 units of a product each week. The total weekly cost is given by C(x,y)=(1/3)x^2+(1/3)y^2+57x+65y+1000, where x is the number of units produced in Portland and y is the number of units produced in Baltimore. How many units should be produced in each plant to minimize the total weekly cost?

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