Does the Following Linear Programming Problem Exhibit Infeasibility,unboundedness,or Alternate Optimal

question 9

Essay

Does the following linear programming problem exhibit infeasibility,unboundedness,or alternate optimal solutions? Explain.
$$\begin{array} { l l } \text { Min } & 3 x + 3 y \\\text { s.t. } & 1 x + 2 y \leq 16 \\& 1 x + 1 y \leq 10 \\& 5 x + 3 y \leq 45 \\& x , y \geq 0\end{array}$$

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Definitions:

Freudian Theory

A psychological framework developed by Sigmund Freud that emphasizes unconscious motivations and conflicts as drivers of human behavior.

Population Density

The measure of the number of individuals living per unit area, often used to understand how crowded an area is.

Aggressive

Exhibiting behavior characterized by hostility and intent to cause harm or assert dominance over others.

Household Density

measures the number of people living within a household or residential unit, often reflecting living conditions and space utilization.