Consider the following linear program and its optimal tableau solution and answer the following questions max 5x1 + 4.5.22 +6.23 = 2 s.t. 681 +502 +883 0 Basic 13 10 SI IT Sol 51 2 1 0 0 0 2 53 71 0 0 0 1 S3 0 0 22 0 1 0 0 1 63 11 0 a) Define and its solution, Iron and its solution, B, B-1 and CB: d) What if C, was changed to 8? Does the optimal solution remain the same? If not, find the new optimal: Basic . 21 02 81 12 83 Sol Basic 22 3 2 $ 53 Sol 3 of 6 E) Wut if the RHS of the second constraint was changed to 1207 Does the current basis remain optimal What is the new solution? Sol Base 02 Sol h) What if a new variable is introduced with = 6 - 15 100) Det current basis remain optimal? What is the optimal 3 3 3 Sol Basic Sol