Utility on R is given by u(x, y) = x+y. Find all the points that maximize utility over the set B={(x,y): 2x+ys1, x+2y1, and x,y>0}. a. Write down the necessary Kuhn-Tucker conditions (i.e. first order necessary condition) of the problem. (10points) b. Find all points that satisfy these conditions. (10points) c. Which of the points found in (b) solve the maximization problem?(10points)