Please answer in full, showing all steps. Will be upvoted for original answer (not copied). Assume each step needs to be briefly explained.

maxx,yRxy4s.t.xey3e2,cy,x0,y0 For parts a and b below, assume that c=0. (a) Determine and briefly explain whether any points of the constraint set violate the non-degenerate constraint qualification of the Kuhn-Tucker theorem. (b) Solve the maximization problem (2). (Hint: You do not need to apply the Kuhn-Tucker theorem nor any other theorem from the lecture slides.) For the remaining parts of this question, assume that c>0. For parts d and i only, further specifically assume that c=2. (c) Determine and prove whether the objective function f:R2R,(x,y) xy4 is concave, convex, both concave and convex, or neither concave nor convex. maxx,yRxy4s.t.xey3e2,cy,x0,y0 For parts a and b below, assume that c=0. (a) Determine and briefly explain whether any points of the constraint set violate the non-degenerate constraint qualification of the Kuhn-Tucker theorem. (b) Solve the maximization problem (2). (Hint: You do not need to apply the Kuhn-Tucker theorem nor any other theorem from the lecture slides.) For the remaining parts of this question, assume that c>0. For parts d and i only, further specifically assume that c=2. (c) Determine and prove whether the objective function f:R2R,(x,y) xy4 is concave, convex, both concave and convex, or neither concave nor convex