6. (25 points) Consider the following problem: Max 3x1+ 2312 subject to 431+ x: 510, in, X2 3 0 3. Draw a graph that shows the feasible set and the objective mction. b. Write down the Kuhn-Tucker conditions for the problem. c. What are the solutions for the problem? d. Write down the dual minimization problem. e. Write down the Kuhn-Tucker conditions for the dual