Consider the following linear program. Max 3A + 4B s.t. -1A + 2B ≤9 1A + 2B ≤ 11 2A + 1B ≤18 A, B 20 (a) Write the problem in standard form. Max 3A + 4B + s.t. -1A + 2B + 1A + 2B (A, B) = 2A + 18 S₁ + + A, B, S₁, S₂, S320 (b) Solve the problem using the graphical solution procedure. -(C S₂ + (c) What are the values of the three slack variables at the optimal solution? S₁ S₂ S3 = = 9 = 11 18

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following linear program.
Max 3A + 4B
-1A + 2B ≤9
1A + 2B ≤11
2A + 1B ≤ 18
A, B ≥ 0
(a) Write the problem in standard form.
Max
s.t.
s.t.
||
3A + 4B +
=
-1A + 2B +
A, B, S₁, S₂, S320
||
1A + 2B
2A + 1B
(b) Solve the problem using the graphical solution procedure.
(A, B) =
S₁ +
+
(c) What are the values of the three slack variables at the optimal solution?
S₁
S₂
S3
S₂ +
+
S3
= 9
= 11
= 18
Transcribed Image Text:Consider the following linear program. Max 3A + 4B -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤ 18 A, B ≥ 0 (a) Write the problem in standard form. Max s.t. s.t. || 3A + 4B + = -1A + 2B + A, B, S₁, S₂, S320 || 1A + 2B 2A + 1B (b) Solve the problem using the graphical solution procedure. (A, B) = S₁ + + (c) What are the values of the three slack variables at the optimal solution? S₁ S₂ S3 S₂ + + S3 = 9 = 11 = 18
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