M (1) Consider the Initial tableau of the Linear Programming Model, Basic Variables Quantity M 41 8 6 0 0.5 X1 0.3 X2 0 51 0 52 M Ai 48 -1 1 0 M 12 1 2 0 -1 0 1 60M 9M 8.M -M -M M M 9M-.05 8M-.03 -M -M 0 0 a) Formulate the Original Linear Programming Model. b) Develop the Second table c) Is the second Table the optimal solution? Explain why? Q2) A shop has five workers to be assigned to four machines. The hourly cost of having each machine operated by each worker is as follows: Machines A B | D 1 30 20 18 26 25 workers 2 27 22 16 3 30 26 19 32 4 40 36 29 27 18 5 30 26 Determine the optimal assignment and compute total minimum cost