QUESTION 4 Using the Lagrange function above, find F (X.V. A) x+y+60 - X 1-60 -2x-y+60 -x-2y+60 QUESTION 5 Set Fx. Fy F. equal to o and solve for x and y x = 50, y=5 x=30, y= 15 X =10, y=25 x =20, y=20 QUESTION 6 The maximum value of the utility function f(x .y ) -xy2 is 6750 1250 8000 6250QUESTION 1 Choose the correct Lagrange function to maximize the utility function " (x. v) =x 2 if $60 is available and the cost of a unit of x is $1 and the cost of a unit of y is $2. Recall F (x, y. 1) =f (x.y) - Ag (x. y) F(x.y.1) =xy2 -1(x+2y-60) Fix.y.1) =xy-1(2x-y-60) OF ( x.y.2) =x2/2-2(x-2y+60) OF (x.y.d) =x2y - 1(2x+y-60)