Use the method of Lagrange to solve the following problem for & : Objective is to maximize U where U (x,y) = x y and the constraint is: m = P_x x + P_y y

Note: , , P_x, P_y, are all parameters, so your solutions will have these parameters in them. however; x* and y* cannot have x's or y's in the solution.

****You can use x₁ x₂ as alternative notation, and it doesn't matter!****

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Use the method of Lagrange to solve the following problem for x'& y\" : Objective is to maximize U where U(x, y) = xay and the constraint is: m = x+ y . Note: a, ,,,,m are all parameters, so your solutions will have these parameters in them. however; x' & 31' cannot have x's or y's in the solution. ****You can use x1 and at; as alternative notation, and it doesn't matter!****