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?
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,
Substitute the value of A and B in the given three equat...
-A+2B+S, = 8 20 16 S 8 3 3 28 3 Thus, the value of the slack variable 1 is 28/3. A+2B S2 12 16 20 S, 12- 3 3 0 Thus, the value of the slack variable 2 is 0. 2A+ B+S 16 40 8 S3 16 3 0
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