Please answer my question quickly if you can answer it in less that 30 minutes. I PROMISE I will give thumbs up

This is operation research course

duality

north west rule

feasibility

Transportation costs and capacities of the transportation problem of the Better Products Co. are given in the table below (note a dummy destination node 5): Cost per Unit Distributed Destination (Product) 1 2 3 4 5(D) Supply 1 41 27 28 24 0 75 Source 2 40 29 45 23 0 75 3 37 30 27 21 0 45 Demand 20 30 30 40 75 (a) Formulate the objective function to minimize transportation costs: (b) Give formulation of all constraints for the transportation problem; (2 marks) (4 marks) (2 marks) (c) Construct the transportation table; (d) Find an initial solution by Nort-west corner rule; (d) Formulate the dual of this model (4 marks) I (4 marks) (e) Given the following solution X 2 = 30, X, 3* = 15, X24 - 15, Xs - 60, xz1 = 20, X24 - 25 (0) Check if it is Basic feasible? (2 marks) = 30, X15 (1) Check if it is optimal, aeder by MODI or stepping stone methods? (8 marks)