Solve the Standard Minimization Problem Using Duality $c = 5 s + 4 t$

question 95

Short Answer

Solve the standard minimization problem using duality.
​
Minimize $c = 5 s + 4 t$ ​
subject to $\begin{array} { l } 3 s + t \geq 30 \\s + t \geq 20 \\s + 3 t \geq 30 \\s \geq 0 , t \geq 0\end{array}$ ​ $c =$ __________
​ $s =$ __________
​ $t =$ ___________

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Definitions:

Behavioral Consequences

The outcomes or results that follow from specific behaviors, which can reinforce or discourage the behavior.

Desired Behavior

Actions or conduct that are sought after or encouraged within a certain context, such as a workplace or community.

Reinforcement Schedule

A strategy in behavior analysis that determines how and when a behavior will be reinforced to encourage or discourage it.

Arbitration Clause

A section in a contract that requires disputes to be resolved through arbitration rather than through court litigation.