Consider the following linear program. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. 5 -1A + 2B + (A, B) = = A, B, S₁, S₂, S3 ≥ V = 1A + 2B 2A + 1B 0 S₁ 0 + Solve the problem using the graphical solution procedure. (1.5, 1.5 + ( 0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 6 S₂ 0 S3 0 S2 )5₂ + ( + 0 $3 9 = 11 = 18
Consider the following linear program. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. 5 -1A + 2B + (A, B) = = A, B, S₁, S₂, S3 ≥ V = 1A + 2B 2A + 1B 0 S₁ 0 + Solve the problem using the graphical solution procedure. (1.5, 1.5 + ( 0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 6 S₂ 0 S3 0 S2 )5₂ + ( + 0 $3 9 = 11 = 18
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Consider the following linear program.
(b)
-1A + 2B ≤9
1A + 2B
≤11
2A + 1B ≤18
A, B≥ 0
(a) Write the problem in standard form.
s.t.
Max 3A + 4B +
Max 3A + 4B
s.t.
5
-1A + 2B +
(A, B) =
=
A, B, S₁, S₂, S3 ≥ V
=
1A
+ 2B
2A + 1B
0
S₁
0
+
Solve the problem using the graphical solution procedure.
(1.5, 1.5
+
( 0
(c) What are the values of the three slack variables at the optimal solution?
S₁
= 6
S₂ 0
S3
0
S2
)5₂ + (
+
0
$3
9
= 11
= 18
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