Solve the Standard Minimization Problem Using Duality $c = 0.5 s + 0.1 t$

question 151

Short Answer

Solve the standard minimization problem using duality.
​
Minimize $c = 0.5 s + 0.1 t$ ​
subject to $$\begin{array} { l } 30 s + 20 t \geq 600 \\0.1 s + 0.4 t \geq 4 \\0.2 s + 0.3 \geq 4.5 \\s \geq 0 , t \geq 0\end{array}$$ ​ $c =$ __________
​ $s =$ __________
​ $t =$ __________

---

Definitions:

Pro Forma Goals

These are projected financial statements or goals that a company uses for planning purposes, reflecting expectations of how financial results should appear under certain scenarios.

Budget Projections

Financial estimates anticipating revenue, expenses, and net profit for future periods.

Potential Valuations

Estimated values assigned to businesses, assets, or investments based on future earnings power or asset values.

Forecasts

Future predictions about various aspects such as sales, weather, economic trends, based on historical data, current conditions, and analytical models, crucial for planning and preparation.