Finite math

1- Solve The linear programming problem by simplex method

maximize p=5x+8y+7z

subject to x+y+z<or eequal 6

                 5x+5y+3z< or equal 22

                 x> or equal 0, y> or equal 0, z> or equal 0

2- Construct the dual problem associated with the giving primal problem. Solve the primal problem

Minimize c= 8x+3y

subject to x+2y> or equal to 4

                3x+2y> or equal 6 

                X> or equal to 0, y> or equal to 0

3- use the simplex method for solving nonstandard problems to solve the giving linear programming problem

maximize  p= x+2y 

subject to.  2x+5y< or equal to 20 

                  X-5y< or equal to -5 

                 X>or equal to 0, y > or equal to 0