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A company has a plant in Scranton and a plant in Salt Lake City. The firm...

A company has a plant in Scranton and a plant in Salt Lake City. The firm is committed to produce a total of 498 units of a product each week. The total weekly cost is given by C(x,y)=5/4^x2+1/4y^2+36x+54y+600, where x is the number of units produced in Scranton and y is the number of units produced in Salt Lake City. How many units should be produced in each plant to minimize the total weekly cost?

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