Question

Maximize $Z = 3x_1 + 5x_2 + 6x_3$ subject to $2x_1 + x_2 + x_3 \le 4$ $x_1 + 2x_2 + x_3 \le 4$ $x_1 + x_2 + 2x_3 \le 4$ $x_1 + x_2 + x_3 \le 3$ $x_1 \ge 0, x_2 \ge 0, x_3 \ge 0$

          Maximize $Z = 3x_1 + 5x_2 + 6x_3$
subject to
$2x_1 + x_2 + x_3 \le 4$
$x_1 + 2x_2 + x_3 \le 4$
$x_1 + x_2 + 2x_3 \le 4$
$x_1 + x_2 + x_3 \le 3$
$x_1 \ge 0, x_2 \ge 0, x_3 \ge 0$

Maximize Z = 3x1 + 5x2 + 6x3
subject to
2x1 + x2 + x3 ≤ 4
x1 + 2x2 + x3 ≤ 4
x1 + x2 + 2x3 ≤ 4
x1 + x2 + x3 ≤ 3
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0

Added by Tammy K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/22/2023

Step 1

Maximize Z = 3x1 + 5x2 + 6x3 Subject to: 2x1 + x2 + x4 + x5 = x6 x1 + 2x2 + x4 + x7 = x8 x1 + x2 + 2x3 + x9 = x10 x1 + x2 + 3x4 + x11 = x12 x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12 ≥ 0 Show more…

Show all steps

Thanks for your feedback!

Work through the simplex method step by step in tabular form to solve this problem. Maximize Z=3x+5x+6x subject to 2x+x+x4 x+2x+x4 x++2x4 x+x+3 x0,x0,x0