Solve the Standard Minimization Problem Using Duality $c = s + t + 9 u$

question 2

Short Answer

Solve the standard minimization problem using duality.
​
Minimize $c = s + t + 9 u$ ​
subject to $\begin{array} { l } s + 2 t + 2 u \geq 60 \\2 s + t + 3 u \geq 60 \\s \geq 0 , t \geq 0 , u \geq 0\end{array}$ ​ $c =$ __________
​ $s =$ __________
​ $t =$ __________
​ $u =$ __________

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Definitions:

Maximum Earning

The highest amount of revenue that a business can generate from its operations, often limited by market size or production capacity.

Competitive Price-Searcher

A market condition where firms actively seek to set prices competitively, often through the differentiation of products or services, to gain advantage over rivals.

Market Equilibrium

A condition or state where the quantity demanded of a good or service at a certain price equals the quantity supplied, leading to a stable market condition.

Collusion

An agreement, usually secretive, between firms to fix prices, limit supply, or inhibit competition.