*1. For the following LP, identify three alternative optimal basic solutions, and then write a general expression for all the nonbasic alternative optima comprising these three basic solutions.

Maximize z =: Xl + 2X2 + 3X3 subject to Xl + 2x2 + 3X3 :%: 10 XI + x2 :%: 5 Xl :%: 1 Note: Although the problem has more than three alternative basic solution optima, you are only required to identify three of them. You may use TORA for convenience.