Use Slack Variables to Rewrite This Problem So That All $\quad 2.5 \mathbf { X } _ { 1 } + 1.5 \mathbf { X } _ { \mathbf { 2 } }$

question 49

Essay

Use slack variables to rewrite this problem so that all its constraints are equality constraints.
MIN: $\quad 2.5 \mathbf { X } _ { 1 } + 1.5 \mathbf { X } _ { \mathbf { 2 } }$
Subject ta:
$$\begin{array} { l } 4 X _ { 1 } + 3 X _ { 2} \geq 24 \\2 X _ { 1 } + 4 X _ { 2} \geq 24 \\X _ { 1 }, X _ { 7 } \geq 0\end{array}$$

Identify the acts and amendments focused on preventing and controlling water pollution.

Grasp the implications and procedures of environmental legislation related to waste management and disposal.

Discern the approaches and responsibilities for the management and cleanup of hazardous waste and substances.

Acknowledge the significance and enforcement of national standards for drinking water quality.

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Definitions:

Emotional Intelligence

The capacity to be aware of, control, and express one's emotions, and to handle interpersonal relationships judiciously and empathetically.

Collaboration

Working together with one or more people to achieve a common goal, often involving sharing knowledge, learning, and building consensus.

Secondary Sexual Features

Traits that emerge at puberty, which are not directly involved in reproduction but distinguish the sexes, such as facial hair in men and widened hips in women.

Pubescent

Describes a stage of adolescence where an individual starts developing secondary sexual characteristics.