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UGC-NET | UGC NET CS 2017 Jan - III | Question 70

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

(A)

(1)

(B)

(2)

(C)

(3)

(D)

(4)

Answer

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