The revenue (in $) from the sale of x computers and y laptops is given by R(x,y) = - 2x" - 4y-+4xy + 24x + 104y+220,000. Find values of x and y that lead to a maximum revenue if the firm must produce a total of 90 devices. . . . Write the total production constraint: =90 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,2) = R(x,y) - 2 - g(x,y) = - 2x2 - 4y2+4xy+24x + 104y+220,000 - 2() Find the partial derivatives and equate them to zero: Lx (x, y, 2) = -2=0 Ly (x, y, A ) = -2=0 La (x, y, 2) = =0 Solve the above system to find x and y. Selling computers and laptops will produce a maximum revenue of $