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The revenue (in $) from the sale of x computers and y laptops is given by R(x,y) = -4x -4y +2xy + 22x+ 62y+230,000. Find values of x and y that lead to a maximum revenue if the firm must produce a total of 70 devices. Write the total production constraint: =70 Move all the terms to the left-hand side to obtain the constraint function g(x,y)=0. Set the Lagrange function: L(x,y.A) = R(x.y)- X - g(x,y)= -4x2 -4y +2xy +22x+62y+230,000->() Find the partial derivatives and equate them to zero: Le ( x,y, A ) = - 1=0 Ly (xy, 2) =-1=0 Lx (x,y,A) = =0 Solve the above system to find x and y. Selling computers and laptops will produce a maximum revenue of $