Use the two-phase method to find an optimal solution to the linear programming problem

minimize z = 3x1 + 2x2

subject to

x1 + 3x2 + 2x3 >= 7

2x1 + x2 + x3 >= 4

x1 >= 0 , x2 >= 0, x3 >= 0

Thanks very much

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- June 4th 2006, 02:34 PMsuedenationtwo-phase method
Use the two-phase method to find an optimal solution to the linear programming problem

minimize z = 3x1 + 2x2

subject to

x1 + 3x2 + 2x3 >= 7

2x1 + x2 + x3 >= 4

x1 >= 0 , x2 >= 0, x3 >= 0

Thanks very much - June 5th 2006, 07:11 AMscfan000
minimize z = 3x1 + 2x2

subject to

x1 + 3x2 + 2x3 >= 7

2x1 + x2 + x3 >= 4

x1 >= 0 , x2 >= 0, x3 >= 0

letting x1 be x, x2 as y, and x3 as w

it would look like

x + 3y + 2w__>__7

2x + y + w__>__4

z = 3x + 2y right?

perhaps u can set up a matrix

but i'm not sure if its possible for the greater than signs

and for the third row, the use of both equations would

result in 2y + 3w__>__10

as

[1 3 2 7]

[2 1 1 4]

[0 2 3 10]

it would solve for each x y and w

x = 1/3, y = 0 and w= 10/3

but i'm not sure how you would in put it into ur answer