Consider the following linear program and answer the following questions. Max 3A + 4B s.t.
Consider the following linear program and answer the following questions. Max 3A + 4B s.t.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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![Consider the following linear program and answer the following questions.
Max
Max 3A + 4B
-1A + 2B ≤9
1A + 2B ≤ 12
2A + 1B ≤ 13
A, B ≥ 0
(a) Write the problem in standard form.
s.t.
s.t.
3A + 4B +
-1A + 2B +
1A + 2B
2A + 1B
A, B, S₁, S₂, S3?0
S₁ +
(b) Solve the problem using the graphical solution procedure.
(A, B) =
S₂ +
+
S3
= 9
= 12
= 13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9211a906-5289-450c-811a-2a9ba2eaf17c%2F40a6f73d-1108-4e9f-88e9-b200b33131cb%2F3gahpud_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following linear program and answer the following questions.
Max
Max 3A + 4B
-1A + 2B ≤9
1A + 2B ≤ 12
2A + 1B ≤ 13
A, B ≥ 0
(a) Write the problem in standard form.
s.t.
s.t.
3A + 4B +
-1A + 2B +
1A + 2B
2A + 1B
A, B, S₁, S₂, S3?0
S₁ +
(b) Solve the problem using the graphical solution procedure.
(A, B) =
S₂ +
+
S3
= 9
= 12
= 13
![(c) What are the values of the three slack variables at the optimal solution?
S₁
S₂
S3
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9211a906-5289-450c-811a-2a9ba2eaf17c%2F40a6f73d-1108-4e9f-88e9-b200b33131cb%2Fi3d669n_processed.png&w=3840&q=75)
Transcribed Image Text:(c) What are the values of the three slack variables at the optimal solution?
S₁
S₂
S3
=
=
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