s.t. > 5 3. Consider the following primal problem min 4.01 +5.02 +3.03 + 2.24 22 +23+04 > 2 ri trg -14 21, 22, 23, 240 (a) (8 points) Write the dual of this linear program in the space to the right of the primal above. Then, sketch its feasible region and find an optimal dual solution (both the values it assigns to the dual variables as well as the optimal dual objective value). (b) (4 points) Using complementary slackness and strong duality, find an optimal solu- tion to the primal problem (both the values assigned to the decision variables and the optimal objective value)