Linear Programing

Vertices:	(0,0)		(6,0)		(0,6)
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 6	C=3x +4y C=3(0)+4(0) C=0	C=3x +4y  C=3(6)+4(0) C=22		C=3x +4y C=3(0)+4(6) C=24

Vertices:	(-5,4)		(5,4)		(5,8)
Constraints	Objective Function:
x ≤ 5 y ≥ 4 -2x + 5y ≤ 30	C=2x+ 5y C=2(-5)+5(4) C=10	C=2x+ 5y C=2(5)+5(4) C=30		C=2x+ 5y C=2(5)+5(8) C=50

Vertices:	(1,2)		(5,2)		(1,8)
Constraints	Objective Function:
x ≥ 1 y ≥ 2 6x + 4y ≤ 38	C=7x+3y C=7(1)+3(2) C=13	C=7x+3y C=7(5)+3(2) C=41		C=7x+3y C=7(1)+3(8) C=31

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

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

Vertices:	(3,0)		(4,3)		(0,4)           (0,2)
Constraints	Objective Function:
x ≥ 0 2x + 3y ≥ 6  3x - y ≤ 9 x + 4y ≤ 16	C=3x+5y C=3(3)+5(0) C=9	C=3x+5y C=3(4)+5(3) C=27		C=3x+5y C=3(0)+5(4) C=20		C=3x+5y C=3(0)+5(2) C=10

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Statistics Test