Solve the following linear programming problem. Complete parts (a) through Minimize (d). subject to (a) Write the dual. Maximize Z= subject to :=x₁ + x₂ with (Do not factor.) (b) Write the initial simplex tableau. X₁ x2 $2 x₁20, X₂ 20 ≤6 ≤1 S₁ 1 0 1 0 00 (c) Find the final simplex tableau. X₁ X2 S₁ $₂ 0 1 1 N 0 0 1 OON 0 (Simplify your answers.) (d) Read the solution from the final simplex tableau. The minimum is w=when y₁=[ and y₂ = (Simplify your answers.) 1 with w=6y₁ + y2 5y₁ + 5y2 ≥25 5y₁ + y₂ 229 y₁20, y₂ 20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve the following linear programming problem. Complete parts (a) through Minimize
(d).
subject to
(a) Write the dual.
Maximize
subject to
X₁
z = x₁ + (
5
with
(Do not factor.)
(b) Write the initial simplex tableau.
X2
S2
x₁ ≥ 0, X₂ 20
1
S₁
1
0
0
≤6
≤1
X2
The minimum is w =
(Simplify your answers.)
0
(c) Find the final simplex tableau.
X₁
X2
S₁
$2
0
1
1
0
1
Z
0
0
1
Z
0
0
1
0
(Simplify your answers.)
(d) Read the solution from the final simplex tableau.
when y₁=
and y₂ =
with
w=6y1
+Y2
5y₁ + 5y₂ ≥25
5y₁ + y₂ ≥29
y₁ ≥ 0, y₂ 20
Transcribed Image Text:Solve the following linear programming problem. Complete parts (a) through Minimize (d). subject to (a) Write the dual. Maximize subject to X₁ z = x₁ + ( 5 with (Do not factor.) (b) Write the initial simplex tableau. X2 S2 x₁ ≥ 0, X₂ 20 1 S₁ 1 0 0 ≤6 ≤1 X2 The minimum is w = (Simplify your answers.) 0 (c) Find the final simplex tableau. X₁ X2 S₁ $2 0 1 1 0 1 Z 0 0 1 Z 0 0 1 0 (Simplify your answers.) (d) Read the solution from the final simplex tableau. when y₁= and y₂ = with w=6y1 +Y2 5y₁ + 5y₂ ≥25 5y₁ + y₂ ≥29 y₁ ≥ 0, y₂ 20
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