QUESTION 1 Choose the correct Lagrange function to maximize the utility function f (x y) _ 2 if $60 is available and the cost of a unit of , is $1 and the cost of a unit of y is $2. Recall F (x, y.1) =f (x,y) - 28 (x. >) OF (x.y.d) =xy2 - 2(x+2y-60) F (x.y.A) =xy-1(2r->-60) "F (x.y.2 ) =x232 -1(x-2y +60) " F (x.y.2 ) =xly-1(2r+y-60) QUESTION 2 Using the Lagrange function above, find F (x,y,A) 0 2 _ x 0 _ x - y+ 60 2 xy - 27 0 x2 - 21 QUESTION 3 Using the Lagrange function above, find Fy(x, y.A) 0 2 7 2 xy - 2x 0 -x-y+60 0 x 2 -21