 By construction, "u" and "v" are both non-basic variables since they are part of the initial identity matrix.However, the objective function "W" currently assumes that "u" and "v" are both "0".In order to adjust the objective function to be the correct value where "u" = "10" and "v" = "15", add the third and fourth rows to the first row giving

Select column 5 as a pivot column, so the pivot row must be row 4, and the updated tableau is 

Now select column 3 as a pivot column, for which row 3 must be the pivot row, to get

The artificial variables are now 0 and they may be dropped giving a canonical tableau equivalent to the original problem