Question

6. Construct the simplex tableau for the following LPs, and find their optimal tableau, the optimal solution and the optimal objective. maximize $z = x_1 + x_2$, subject to $8x_1 + 6x_2 \ge 24$, $2x_2 \le 4$, $x_1 \ge 0$, $x_2 \ge 0$. maximize $z = x_1 + x_2$, subject to $8x_1 + 6x_2 \ge 24$, $2x_2 \ge 4$, $x_1 \ge 0$, $x_2 \ge 0$. maximize $z = x_1 + x_2$, subject to $5x_1 + 3x_2 \le 15$, $3x_1 + 5x_2 \le 15$, $x_1 \ge 0$, $x_2 \ge 0$.

          6. Construct the simplex tableau for the following LPs, and find their optimal tableau, the optimal
solution and the optimal objective.
maximize $z = x_1 + x_2$,
subject to
$8x_1 + 6x_2 \ge 24$,
$2x_2 \le 4$,
$x_1 \ge 0$,
$x_2 \ge 0$.
maximize $z = x_1 + x_2$,
subject to
$8x_1 + 6x_2 \ge 24$,
$2x_2 \ge 4$,
$x_1 \ge 0$,
$x_2 \ge 0$.
maximize $z = x_1 + x_2$,
subject to
$5x_1 + 3x_2 \le 15$,
$3x_1 + 5x_2 \le 15$,
$x_1 \ge 0$,
$x_2 \ge 0$.

6. Construct the simplex tableau for the following LPs, and find their optimal tableau, the optimal
solution and the optimal objective.
maximize z = x1 + x2,
subject to
8x1 + 6x2 ≥ 24,
2x2 ≤ 4,
x1 ≥ 0,
x2 ≥ 0.
maximize z = x1 + x2,
subject to
8x1 + 6x2 ≥ 24,
2x2 ≥ 4,
x1 ≥ 0,
x2 ≥ 0.
maximize z = x1 + x2,
subject to
5x1 + 3x2 ≤ 15,
3x1 + 5x2 ≤ 15,
x1 ≥ 0,
x2 ≥ 0.

Added by Nicole H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/30/2023

Step 1

For the first LP: 8x1 + 6x2 + s1 = 24 2x2 + s2 = 4 x1 ≥ 0, x2 ≥ 0, s1 ≥ 0, s2 ≥ 0 For the second LP: 8x1 + 6x2 - s1 = 24 2x2 - s2 = 4 x1 ≥ 0, x2 ≥ 0, s1 ≥ 0, s2 ≥ 0 For the third LP: 5x1 + 3x2 + s1 = 15 3x1 + 5x2 + s2 = 15 x1 ≥ 0, x2 ≥ 0, s1 ≥ 0, s2 ≥ 0 Show more…

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6. Construct the simplex tableau for the following LPs, and find their optimal tableau, the optimal solution and the optimal objective. maximize z = x1 + x2, subject to 8x1 + 6x2 ≤ 24, 2x2 ≤ 4, x1 ≥ 0, x2 ≥ 0. maximize z = x1 + x2, subject to 8x1 + 6x2 ≥ 24, 2x2 ≥ 4, x1 ≥ 0, x2 ≥ 0. maximize z = x1 + x2, subject to 5x1 + 3x2 ≤ 15, 3x1 + 5x2 < 15, x1 ≥ 0, x2 ≥ 0.