Consider the following linear program. Max 3A + 4B s.t. -1A + 28 s9 1A + 28 s11 2A + 18 s14 A, Bz0 (a) Write the problem in standard form. Маx ЗА + 4B + s.t. -1A + 28 +S 1A + 28 S2 = 11 S3 = 14 2A + 18 A, B, S1, S2, S3 E v (b) Solve the problem using the graphical solution procedure. (A, B) = 3,4 (c) What are the values of the three slack variables at the optimal solution? S2 S3- 0

MATLAB: An Introduction with Applications
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Consider the following linear program.
Max 3A + 4B
s.t.
-1A + 28 s9
1A + 28 s11
2A + 18 s14
А, в 2 0
(a) Write the problem in standard form.
2 - (0
Max
ЗА
+ 48 +
S, +
s.t.
-1A + 28 +
= 9
1A + 28
= 11
+ 18
S3
= 14
2A
A, B, S1. S2, S3
(b) Solve the problem using the graphical solution procedure.
(A, B) =
3,4
(c)
What are the values of the three slack variables at the optimal solution?
S2
S3
= 10
Transcribed Image Text:Consider the following linear program. Max 3A + 4B s.t. -1A + 28 s9 1A + 28 s11 2A + 18 s14 А, в 2 0 (a) Write the problem in standard form. 2 - (0 Max ЗА + 48 + S, + s.t. -1A + 28 + = 9 1A + 28 = 11 + 18 S3 = 14 2A A, B, S1. S2, S3 (b) Solve the problem using the graphical solution procedure. (A, B) = 3,4 (c) What are the values of the three slack variables at the optimal solution? S2 S3 = 10
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