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Solve the Standard Minimization Problem Using Duality c=5s+2tc = 5 s + 2 t

Question 57

Multiple Choice

Solve the standard minimization problem using duality.
Minimize c=5s+2tc = 5 s + 2 t
Subject to 3s+t30s+t20s+3t30s0,t0\begin{array} { l } 3 s + t \geq 30 \\s + t \geq 20 \\s + 3 t \geq 30 \\s \geq 0 , t \geq 0\end{array}


A) c=55c = 55 , s=5s = 5 , t=15t = 15
B) c=85c = 85 , s=15s = 15 , t=5t = 5
C) c=25c = 25 , s=5s = 5 , t=0t = 0
D) c=30c = 30 , s=0s = 0 , t=15t = 15
E) c=10c = 10 , s=0s = 0 , t=5t = 5

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