Question

Q4. Identify which of the following formulations is a LP: (A) Min Subject to: $x_1 - 2(x_3 - x_2)$ $x_1 - x_2 \ge 3$ $x_1 + 2x_3 \le -4$ $x_1, x_2, x_3 \ge 0$ (B) Min Subject to: $2x_3$ $2x_1 + x_2 \le 2$ $x_2 + x_3 > 3$ $x_1, x_2, x_3 \ge 0$ (C) Min Subject to: $-x_2 + x_1x_3 + 2x_2$ $2x_1 + x_2 + x_3 = 15$ $4x_2 - x_3 \ge 5$ $x_1, x_2, x_3 \ge 0$ (D) Min Subject to: $-2x_2 + x_1 + 2x_3$ $-2x_1 + x_2 \ge 2$ $6x_2 - x_3 \ge 3$ $x_1, x_2, x_3 \ge 0$ A) Program A B) Program B C) Program C D) Program D E) None 1 mark

          Q4. Identify which of the following formulations is a LP:
(A)
Min
Subject to:
$x_1 - 2(x_3 - x_2)$
$x_1 - x_2 \ge 3$
$x_1 + 2x_3 \le -4$
$x_1, x_2, x_3 \ge 0$
(B)
Min
Subject to:
$2x_3$
$2x_1 + x_2 \le 2$
$x_2 + x_3 > 3$
$x_1, x_2, x_3 \ge 0$
(C)
Min
Subject to:
$-x_2 + x_1x_3 + 2x_2$
$2x_1 + x_2 + x_3 = 15$
$4x_2 - x_3 \ge 5$
$x_1, x_2, x_3 \ge 0$
(D)
Min
Subject to:
$-2x_2 + x_1 + 2x_3$
$-2x_1 + x_2 \ge 2$
$6x_2 - x_3 \ge 3$
$x_1, x_2, x_3 \ge 0$
A) Program A
B) Program B
C) Program C
D) Program D
E) None
1 mark

Q4. Identify which of the following formulations is a LP:
(A)
Min
Subject to:
x1 - 2(x3 - x2)
x1 - x2 ≥ 3
x1 + 2x3 ≤ -4
x1, x2, x3 ≥ 0
(B)
Min
Subject to:
2x3
2x1 + x2 ≤ 2
x2 + x3 > 3
x1, x2, x3 ≥ 0
(C)
Min
Subject to:
-x2 + x1x3 + 2x2
2x1 + x2 + x3 = 15
4x2 - x3 ≥ 5
x1, x2, x3 ≥ 0
(D)
Min
Subject to:
-2x2 + x1 + 2x3
-2x1 + x2 ≥ 2
6x2 - x3 ≥ 3
x1, x2, x3 ≥ 0
A) Program A
B) Program B
C) Program C
D) Program D
E) None
1 mark

Added by Michael C.

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