As a more practical and explicit illustration consider the problem of Table 3. Suppose facilities at Los Angeles are increased by 20 units and deliveries at San Francisco are increased by the same amount. Then the solution is immediately obtained from the completely reduced matrix of Table 3 with x46 increased from 43 to 63. If instead the deliveries at St. Louis are increased by 20 units, the matrix C(3) again provides the solution with x46 = 63, x36 = 16, x33 = 51 and the other xij not changed.