Thursday, March 20, 2014

Linear Programming

Vertices:
 0,0
 0,6
 6,0

Constraints
Objective Function: C=3x+4y
x ≥ 0
y ≥ 0
x + y ≤ 6
0
24
18



Vertices:
 -5,4
 0,4
 0,6

Constraints
Objective Function: C=2x+5y
x ≤ 5
y ≥ 4
-2x+5y ≤ 30
10
20
30



Vertices:
1,8
1,2
 5,2

Constraints
Objective Function: C=7x+3y
x ≥ 1
y ≥ 2
6x + 4y ≤ 38
31
13
41



Vertices:
 0,4
 0,8
 6,8

Constraints
Objective Function: C=4x+6y
x ≥ 0
y ≤ 8
-2x + 3y ≥ 12
24
48
72



Vertices:
 2,3
 0,5
 8,0
0,0
Constraints
Objective Function: C=8x+7y
x ≥ 0
y ≥ 0
4x + 4y ≤ 20
x+2y ≤ 8
37
35
64
0


Vertices:
 3,0
0,4
4,3
0,2
Constraints
Objective Function: C=3x+5y
x ≥ 0
y ≥ 0
x + y ≤ 5
9
20
27
10

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