(9) Using the method of LAGRANGE MULTIPLIERS, find the absolute extrema of f(x,y)=x +4y subject to the constraint x- + 2y = 1. Show all points you considered in the process. (You may assume that an absolute max and an absolute min exist) The graph is given in order so you may check whether your answer is reasonable. Show the absolute max and min on the graph by labeling it on the graph. (10 points) Show all points which you considered as possibilities for yielding extreme values2 -3 -25 1 -2 1.5 0.5 05 + 0.5 2.5 -1 L