Thursday, March 20, 2014

Linear Programming


#4
Vertices:
 (0,6)
 (0,0)
 (6,0)

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





#5
Vertices:
 (-5,4)
 (5,8)
 (5,4)

Constraints
Objective Function: C= 2x+5y
x ≤ 5
y ≥ 4
-2x + 5y ≤ 30
 C=10
 C=50
 C=30





#6
Vertices:
 (1,8)
 (1,2)
 (5,2)

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




#7
Vertices:
 (0,8)
 (0,4)
 (6,8)

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




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


<<<Image Goes Here>>>
Vertices:




Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 5






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