Thursday, March 20, 2014

Linear Programing



Vertices:
(0,6)
(0,0)
(6,0)

Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 6







Vertices:
(5,8)
(5,4)
(-5,4)

Constraints
Objective Function: 
x ≤ 5
y ≥ 4
-2x + 5y ≤ 30







Vertices:
(1,8)
(1,2)
(5,2)

Constraints
Objective Function: 
x ≥ 1
y ≥ 2
6x + 4y ≤ 38






Vertices:
(0,8)
(6,8)
(0,4)

Constraints
Objective Function: 
x ≥ 0
y ≤ 8
-2x + 3y ≥ 12






Vertices:
(0,4)
(2,3)
(0,0)
(5,0)
Constraints
Objective Function: 
x ≥ 0
y ≥ 0
4x + 4y ≤ 20
x + 2y ≤ 8






Vertices:
(0,4)
(4,3)
(2,0)
(3,0)
Constraints
Objective Function: 
x ≥ 0
2x + 3y ≥ 6
3x - y ≤ 9
x + 4y ≤ 16






                                      

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