4. (30 points) Consider the following linear program: max 2 = -21 + 302 - 2.03 s.t. 2.11 + 2.2 + 3 = --21 + 13 21 > 0, 220, 23 > 4 -1 0 (a) (5 points) Please write down the standard form of the above linear program (b) (5 points) When we use the two-phase method to solve the above linear program, please introduce artificial variables and write down the standard form of Phase I linear program. 1 ( L) (10 points) Please solve the Phase I linear program using simplex method. You might not need to fill all of the tableaus. (Please (i) write down the tableau, basic variables nonbasic variables at each iteration, and (ii) answer the following questions can you una an optimal solution and the optimal value of Phase I linear program? If so, please write them down. If not, please explain.) (a) (10 points) Is the original linear program feasible? If Yes, please continue Phase II and write down the final optimal solution and optimal van car program feasible? If Yes, please continue solving it using the final optimal solution and optimal value. If not, please explain