QUESTION 1 Consider the function f (x.y) =2ry + 4. subject to the constraint x + y = 20- Choose the correct Lagrange function F (x, y.2) Recall that F (x, y.2) =f (x.y) -ag (x.y) OF (x,y.1) =x+ y- 16+1(2ry+4) OF ( x. y.2) = 2ry+4-1(-x-y-20) OF (x.y . 2 ) = 2xy + 1 (x+y+20) OF ( x. y.d) = 2ry +4-1(x+y-20) QUESTION 2 Consider the f (x.y) =2ry + 4 subject to the constraint x + y= 20- Setup the Lagrange function F (x. y. a) and find F Recall that F =f - 1 8, 2x+ 1 02y + 2 2x - 1 0 2y - 1 QUESTION 3 Consider the f (x.y) =2xy + 4, subject to the constraint x + y = 20. Setup the Lagrange function F (x.y.2) and find F Recall that F =f- 28, 2x - 2 0 2y - 2 0 2x + 2