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Solve the Standard Minimization Problem Using Duality c=0.4s+0.6tc = 0.4 s + 0.6 t

Question 139

Multiple Choice

Solve the standard minimization problem using duality.
Minimize c=0.4s+0.6tc = 0.4 s + 0.6 t
Subject to 0.2s+0.1t10.15s+0.3t1.510s+10t80s0,t0\begin{array} { l } 0.2 s + 0.1 t \geq 1 \\0.15 s + 0.3 t \geq 1.5 \\10 s + 10 t \geq 80 \\s \geq 0 , t \geq 0\end{array}


A) c=3.6c = 3.6 , s=6s = 6 , t=2t = 2
B) c=2.8c = 2.8 , s=6s = 6 , t=2t = 2
C) c=1.2c = 1.2 , s=6s = 6 , t=2t = 2
D) c=4.4c = 4.4 , s=2s = 2 , t=6t = 6
E) c=2.8c = 2.8 , s=2s = 2 , t=6t = 6

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