urgent required,solution step by step needed

2. Consider the following primal LP: Minimize z=5x1+2x2 Subject to x1x232x1+3x25x1,x20 Let y1+y2 be the dual variables. Determine whether the following pairs of primal-dual solutions are optimal: a) (x1=3,x2=1;y1=4,y2=1) b) (x1=4,x2=1;y1=1,y2=0) c) (x1=3,x2=0;y1=5,y2=0) 2. Consider the following primal LP: Minimize z=5x1+2x2 Subject to x1x232x1+3x25x1,x20 Let y1+y2 be the dual variables. Determine whether the following pairs of primal-dual solutions are optimal: a) (x1=3,x2=1;y1=4,y2=1) b) (x1=4,x2=1;y1=1,y2=0) c) (x1=3,x2=0;y1=5,y2=0)