Max 3A + 4B s.t. -1A+2859 1A + 2B ≤14 2A + 18 ≤17 A, B 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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![Consider the following linear program and answer the following questions.
Max 3A + 4B
-1A + 2B ≤9
1A + 2B ≤14
2A + 18 ≤17
A, B 20
(a) Write the problem in standard form.
s.t.
Max 3A + 4B + 0
s.t.
-1A + 2B + 1 S₁
11
1A + 2B
2A + 18
],)₁₁.
0
+ 0
+
A, B, S₁, S₂ S3 2
(b) Solve the problem using the graphical solution procedure.
(A, B) =
15₂
]]s₂
5₂ + ( [0
(c) What are the values of the three slack variables at the optimal solution?
S₁ =
5₂
53
+
15.3
(53
= 9
= 14
= 17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F413a57ab-c507-4b37-84c4-d6f24b4c88c2%2F69e81b32-f193-48d2-aff9-38068e70320c%2Fq3bmx29_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following linear program and answer the following questions.
Max 3A + 4B
-1A + 2B ≤9
1A + 2B ≤14
2A + 18 ≤17
A, B 20
(a) Write the problem in standard form.
s.t.
Max 3A + 4B + 0
s.t.
-1A + 2B + 1 S₁
11
1A + 2B
2A + 18
],)₁₁.
0
+ 0
+
A, B, S₁, S₂ S3 2
(b) Solve the problem using the graphical solution procedure.
(A, B) =
15₂
]]s₂
5₂ + ( [0
(c) What are the values of the three slack variables at the optimal solution?
S₁ =
5₂
53
+
15.3
(53
= 9
= 14
= 17
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