The parameter table given below shows a transportation problem formulation. Cost per Unit Distributed Destination (Product) 1 l 2 l 3 | 4 (D) Supply 1 41 27 24 0 45 Source 2 40 29 23 0 75 3 37 30 21 0 45 Demand 20 30 40 '75 a) Find a basic feasible solution using the Northwest Corner methodis b) Use Vogel's approximation to nd another basic feasible solution and compare its objective value to the one found by the Northwest Corner method (better or worse?) Do not solve to optimalityis c) The transportation simplex has been applied and at some iteration the basic variables have the following values: X12 = 30, X14 =15, X21=15, X24 = 60, X31= 5, X33 = 40 Perform a complete transportation simplex iteration (identify the entering variable, identify the leaving variable, and nd the new basic feasible solution). Is the new solution optimal