1. Consider the following linear programming problem: Min * 1+ 2 x 2 s.t. x1 +3x, 290 8x, +2x, 2160 3x1 +2x, 2120 X 1 , X 2 20 a. Write the problem in standard form. Identify slack/surplus variables. (10 points) b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of the slack and surplus variables at the optimal solution? (12 points)