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 = x1 + 2x2 + 3x3 subject to x1 + 2x2 + 3x3 … 10 x1 + x2 … 5 x1 … 1 x1, x2, x3 Ú 0 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.