Consider the following linear program and answer the following questions. Max 3A + 4B -1A + 2B≤7 1A + 2B ≤ 13 2A + 1B ≤ 15 A, B 20 (a) Write the problem in standard form. 3A + 4B + 0 Max s.t. s.t. -1A + 2B + (A, B) = = 1A + 2B 2A +1B S₁ )³₁ + (0 A, B, S₁, S₂, S32✔ 0 (b) Solve the problem using the graphical solution procedure. 16 12 3' 3 S2 ]₁) ³₂ + ( [0 (c) What are the values of the three slack variables at the optimal solution? = S₁ 15/3 X S₂ 0 S3 = 0 + ],)s, = 7 = 13 = 15
Consider the following linear program and answer the following questions. Max 3A + 4B -1A + 2B≤7 1A + 2B ≤ 13 2A + 1B ≤ 15 A, B 20 (a) Write the problem in standard form. 3A + 4B + 0 Max s.t. s.t. -1A + 2B + (A, B) = = 1A + 2B 2A +1B S₁ )³₁ + (0 A, B, S₁, S₂, S32✔ 0 (b) Solve the problem using the graphical solution procedure. 16 12 3' 3 S2 ]₁) ³₂ + ( [0 (c) What are the values of the three slack variables at the optimal solution? = S₁ 15/3 X S₂ 0 S3 = 0 + ],)s, = 7 = 13 = 15
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
![Consider the following linear program and answer the following questions.
Max 3A + 4B
-1A + 2B≤7
1A + 2B ≤ 13
2A + 1B ≤ 15
A, B 20
(a) Write the problem in standard form.
Max
s.t.
s.t.
3A + 4B + 0
-1A + 2B +
1A + 2B
(A, B) =
2A + 1B
A, B, S₁, S₂, S32
$₁
= 15/3
0
(b) Solve the problem using the graphical solution procedure.
16 12
3' 3
= 0
1)$₁+ (10
X
+ S₂
(c) What are the values of the three slack variables at the optimal solution?
S₁
x
S₂
S3 = 0
1₁ ) $₂+ (10
+
$3
2)53
= 7
= 13
= 15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff21cbe94-1cd8-42f4-8b8b-d6d0b6042fb2%2F1d6d5355-64e0-4256-9c13-cbb6903810d5%2Fenc8y7q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following linear program and answer the following questions.
Max 3A + 4B
-1A + 2B≤7
1A + 2B ≤ 13
2A + 1B ≤ 15
A, B 20
(a) Write the problem in standard form.
Max
s.t.
s.t.
3A + 4B + 0
-1A + 2B +
1A + 2B
(A, B) =
2A + 1B
A, B, S₁, S₂, S32
$₁
= 15/3
0
(b) Solve the problem using the graphical solution procedure.
16 12
3' 3
= 0
1)$₁+ (10
X
+ S₂
(c) What are the values of the three slack variables at the optimal solution?
S₁
x
S₂
S3 = 0
1₁ ) $₂+ (10
+
$3
2)53
= 7
= 13
= 15
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