Find the Complete Optimal Solution to This Linear Programming Problem

question 34

Essay

Find the complete optimal solution to this linear programming problem.
$$\begin{array} { l l } \text { Min } & 3 x + 3 y \\\text { s.t. } & 12 x + 4 y \geq 48 \\& 10 x + 5 y \geq 50 \\& 4 x + 8 y \geq 32 \\& x , y \geq 0\end{array}$$

---

Definitions:

Hours of the Day

The divisions of the day into specific, equal segments used for the purpose of timekeeping and activity planning.

Personal Emotions

involve individual feelings that are experienced as a response to stimuli and are inherently subjective and personal.

Openly

In a manner that is not concealed or hidden; freely observable to the public.

Feeling Guilty

This is the emotional experience that occurs when a person believes they have violated a moral standard or caused harm.