Lowest Cost Entry method s( LCEM) or Matrix Minima Method:
Step1: Determine the smallest cost in the cost matrix of the transportation table. Let it be ( Cij). Allocate Sij = min (a i , b j) in the cell( i, j).
a. If Xij = ai cross out the i row of the transportation table and decrease b by aj. Go to steps3.
b. If Xij = b cross out the j column of the transportation table and decrease ai by bj go to step 3.
c. If Xij = ai = bj cross out either the row or j column but not both .
Step 3: Te peat steps 1 and 2 for the resulting reduced transportation table until all the requirements are satisfied. Whenever the minimum cost is not unique make an arbitrary choice among the minims.