Question: 2. Find the optimum solution for the following Integer Linear Programming problem using the Cutting Plane Method. Maximum Profit, z = 7x 1 + 5x

2.

Find the optimum solution for the following Integer Linear Programming problem using the Cutting Plane Method.

Maximum Profit, z = 7x1 + 5x2

Subject to:

3x1 + 4x2 < 25

6x1 + 4x2 < 29

x1, x2 > 0

The optimal linear programming tableau is shown in Table 2.

Table/Jadual 2

Basic Variable /

Pembolehubah Asas

Coeficient of /

Koefisien bagi

Solution /

Penyelesaian

z

x1

x2

s1

s2

z

1

0

0

1/6

1 112

35 712

x2

0

1

0

1/2

-1/4

5 14

x1

0

0

1

-1/3

1/3

1 13

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