19. Given the linear program  Max 3A +4B  s.t.-1A + 2B< = 8 1A + 2B< =12 2A + 1B< =16       A,B< = 0d. What is the value of slack variable 1?e. What is the value of slack variable 2? f. What is the value of slack variable 3?

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19. Given the linear program
Max 3A +4B
s.t.
-1A + 2B< = 8
1A + 2B< =12
2A + 1B< =16
A,B< = 0

d. What is the value of slack variable 1?
e. What is the value of slack variable 2?
f. What is the value of slack variable 3?

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Step 1

The given LPP is as follows.

Z (A, B) = 3A +4B +0S1+0S2+0S3.

Subject to its constraints,

–1A + 2B + S1 = 8                                                       …… (1)

1A + 2B+         S2=12                                                 …… (2)

2A + 1B              + S3 =16                                          …… (3)

A, B >= 0

Solve L1 and L2 as follows,

Step 2

Substitute the value of A and B in the given three equat...

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