7/22/2019 1l Po Adm Ufal 2014.1

1/6

1a

minZ =X1+ 2X2

X1 + X2 1

5X1 + 2X2 10

3X1 + 5X2 15

X1, X2 0

maxZ = 4X1 + 8X2

3X1 + 2X2 18

X1 + X2 5

X1 4

X1, X2 0

maxZ =X1+ 3X2

4X1 + X2 3010X1 + 2X2 10

X1, X2 0

7/22/2019 1l Po Adm Ufal 2014.1

2/6

70.000

30.000 m3

100.000 85.000

0, 4m3

0, 2

m3

Km2

Kg

Km2

Kg

Km2

Kg Km2

Kg

Km2

7/22/2019 1l Po Adm Ufal 2014.1

3/6

maxZ = 4X1 + 4X2+ 7X3

X1 + 7X2 + 4X3 100

2X1 + X2 + 7X3 100

8X1 + 4X2 + X3 100

X1, X2, X3 0

dm3

dm3

dm3

7/22/2019 1l Po Adm Ufal 2014.1

4/6

7/22/2019 1l Po Adm Ufal 2014.1

5/6

maxZ = 4X1+ 5X2 + X3+ 3X4 5X5 + 8X6

X1 4X3 + 3X4 + X5 + X6 1

5X1 + 3X2 + X3 5X5+ 3X6 4

4X1 + 5X2 3X3 + 3X4 + 4X5 + X6 4

X2 + 2X4 + X5 5X6 5

2X1 + X2 + X3 + X4 + 2X5 + 2X6 7

2X1 3X2 + 2X3 X4+ 4X5 + 5X6 5

X1, X2, X3, X4,X6 0

7/22/2019 1l Po Adm Ufal 2014.1

6/6

minD =Y1 + 4Y2+ 4Y3 + 5Y4 + 7Y5 + 5Y6

Y1 + 5Y2 + 4Y3 2Y5+ 2Y6 4

3Y2 + 5Y3 Y4 + Y5 3Y6 5

4Y1+ Y2 3Y3+ Y5+ 2Y6 1

3Y1 + 3Y3+ 2Y4 + Y5 Y6 3

Y1 5Y2 + 4Y3 + Y4 + 2Y5 + 4Y6 5

Y1 + 3Y2 + 1Y3 5Y4+ 2Y5 + 5Y6 8

Y1, Y2, Y3, Y4, Y5, Y6 0

maxZ =X1 + X2

X1 + X2 10

X1, X2 0