Having issues with the loop part itself after the initial tab

(3 points) We have three Suppliers and three demanders. the Suppliers have inventory of 40, 30, 15 respectively, and the Demanders require 25, 10, 50 respectively. Shipping costs from S1 to D1, D2, D3 are 21, 15, 25 from S2 to D1, D2, D3 are 5, 10, 12, from S3 to D1, D2, D3 are 11, 4, 10 Check that this is a balanced transportation problem. First use the NW method to fill in the initial transport tableau. But this is not what your answer should be. I find that the largest positive top right value after filling in the flows with NW method is S2D1. You do not have to find the proper values of the ij's to do the Loop method. The tableau I want you to fill in is the one after doing this first loop pivot. Again: put shipping costs in top left, initial flow in bottom left, Put a 1 for BV and a 0 for NBV in bottom right. Remember that top right is reduced cost which is o for BV's and must be calculated for NBV's. Put 0 for BV's and, for simplicity on this first assignment, put a fake value of 10 for NBV'S. Fill in all the missing values for the initial transport tableau with BV from the northwest corner method. Each 2x2 matrix is the relevant square in the tableau. S1: S2: S3