For the following mathematical programming problem identify the LP assumptions that are violated in each line. Justify your answers. (P 2) minimize x1,x2,x3 2x1 + 3x1x2 + 3x3 subject to: (1) 4x1 + x2 + 5x2 3 7 , (2) x1 x2 + 2x3 p , p {0.4, 0.6} (3) x1/x3 + 3x2 + x3 3 , (4) x1 0 , (5) x2 0 , integer (6) x3 R. (7)