Linear Programing

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

Vertices:	(-5,4)		(0,6)		(0,4)
Constraints	Objective Function:C =2x+5y
x ≤ 5 y ≥ 4 -2x+5y ≤ 30	C =2(-5)+5(4) C= 10	C=2(0)+5(6) C= 30		C=2(0)+5(4) C=20

Vertices:	(0,9.5)		(0,2)		(5,2)
Constraints	Objective Function: C = 7x + 3y
x  ≥ 1   y  ≥ 2 6x + 4y ≤ 38	C=7(0)+3(9.5) C= 28.5	C=7(0)+3(2) C=6		C=7(5)+3(2) C= 41

Vertices:	(0,8)		(0,4)		(6,8)
Constraints	Objective Function:
x ≥ 0 y≤  0 -2x+3y ≥ 12

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

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

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