Solve the following LP Problem using Algebraic Method [Page 169] [1.5 Marks.]

max z = 5x1 + 2x2

s.t. x1 + x2 6

s.t. x1 - x2 0

x1, x2 >= 0

Find the optimal solution to the following LP:[Page 171][1.5 Marks.]

min z = -x1 - x2

s.t. _x1 + x2 1

s.t. -x1 + x2 0

x1, x2 >= 0

2. Solve the following LP Problem using Algebraic Method [Page 169] [1.5 Marks.] maxz=5x1+2x2s.t.x1+x2=0 3. Find the optimal solution to the following LP: [Page 171] [1.5 Marks.] minz=x1x2s.t.x1+x2=0