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The function f(x,y) = ey has an absolute maximum value and absolute minimum value subject to the constraint x+ xy + y =9. Use Lagrange

The function f(x,y) = ey has an absolute maximum value and absolute minimum value subject to the constraint x"+ xy + y =9. Use Lagrange multipliers to find these values. The absolute maximum is. (Type an exact answer in terms of e.)

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