onsider the linear program. Min 7A + 5B s.t. 2A + 1B ≥ 8 1A + 1B ≥ 8 1B ≤ 3 A, B ≥ 0 (a) Write the problem in standard form. Min 7A + 5B + S1 + S2 + S3
onsider the linear program. Min 7A + 5B s.t. 2A + 1B ≥ 8 1A + 1B ≥ 8 1B ≤ 3 A, B ≥ 0 (a) Write the problem in standard form. Min 7A + 5B + S1 + S2 + S3
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
onsider the linear program.
Min | 7A + 5B | ||
s.t. | |||
2A + 1B | ≥ | 8 | |
1A + 1B | ≥ | 8 | |
1B | ≤ | 3 | |
A, B ≥ 0 |
(a)
Write the problem in standard form.
Min | 7A | + | 5B | + |
|
+ |
|
+ |
|
||||||||
s.t. | |||||||||||||||||
2A | + | 1B | + |
|
= | 8 | |||||||||||
1A | + | 1B | + |
|
= | 8 | |||||||||||
0A | + | 1B | + |
|
= | 3 |
A, B, S1, S2, S3 0
(b)
Solve the problem using the graphical solution procedure. What is the value of the objective function?
(c)
What are the values of the slack and surplus variables?
S1 =
S2 =
S3 =
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