Consider the following LPP: Min. Z = x1+x2+x3

Consider the following LPP:

Min. Z = x1+x2+x3

Subject to 3x1 + 4x3 ≤ 5

5x1 + x2 + 6x3 =7

8x1 + 9x3 ≥ 2

x1, x2, x3 ≥ 0

The standard form of this LPP shall be:

(1) Min. Z = x1 + x2 + x3 + 0x4 + 0x5

Subject to 3x1 + 4x3 + x4 = 5;

5x1 + x2 + 6x3 =7;

8x1 + 9x3 - x5 = 2;

x1, x2, x3, x4, x5 ≥ 0

(2) Min. Z = x1 + x2 + x3 + 0x4 + 0x5 -1(x6)-1(x7)

Subject to 3x1 + 4x3 + x4 = 5;

5x1 + x2 + 6x3 +x6 = 7;

8x1 + 9x3 - x5 + x7 = 2;

x1 to x7 ≥0

(3) Min. Z = x1 + x2 + x3 + 0x4 + 0x5 + 0x6

Subject to 3x1 + 4x3 + x4 = 5;

5x1 + x2 + 6x3 = 7;

8x1 + 9x3 - x5 + x6 = 2;

x1 to x6 ≥ 0

(4) Min. Z = x1 + x2 + x3 + 0x4 + 0x5 + 0x6+ 0x7

Subject to 3x1 + 4x3 + x4 = 5;

5x1 + x2 + 6x3 + x6 = 7;

8x1 + 9x3 - x5 + x7 = 2;

x1 to x7 ≥ 0
by

1 Answer

Answer :

Answer: 1
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