QUESTION 1 For the function f(x,y) = x + y - xy subject to the contrsiant x - y = 10, let F(x,y,>) be the Lagrange function as defined in the text: Fx(x,y,A) = f(x,y) -A g(x,y) where g(x,y) is the contraint function. Find Fx(x,y,A) = 0. O 2x - y - A =0 or 2x - y = > O 2x - y + A=0 or 2x - y = -A O x - y - 1=0 or X - y = A O 2x + y - A=0 or 2x+ y = AQUESTION 2 For the function f(x,y) = x + y- - xy subject to the contrsiant x - y = 10, find Fy(x,y,A) = 0. O 2y - x + 1 =0 or 2y - X = -> O -2y + 2x - X = 0 or -2y + 2x = > O 2y + x - 1 =0 or 2y + x = > O -xty-A=0 or -X+y =AQUESTION 3 For the function f(x,y) = x + y - xy subject to the contrsiant x - y = 10, find Fx(x,y,A) = 0. O -x - y - 10 =0 or x+ y = -10 O -x + y+ 10 =0 or x - y = 10 O x+ y + 10 =0 or -x - y = 10 O x - y - 10 =0 or -x+ y =-10QUESTION 4 For the function x,v} - x2 + y2 - qu subject to the contrsiant x - v - 19, what is the solution of x and v in point form [my]: to system of 3 equations above in the previous three questions? Also, what is the value of x,v} at that point? {:1- [E, E}; value = 25 {:2- [15_. 5}; value = 5 {:2- [E, E}_: value = 7'5 {:2- [IEL 1}; value = l QUESTION 5 For the function x. 1:2 x2 + y2 - may subject to the constraint :1: - v - 19. how is the point found in the Previous Question classified? Not a Max, Min, nor a Saddle Point {"22- Minimum Maximum "'::- Saddle Point