Use the Given Feasible Region Determined by the Constraint Inequalities $f = 5 x + 6 y$

question 110

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the maximum possible value of the
objective function.
- $f = 5 x + 6 y$ subject to the constraints
$$\left\{ \begin{array} { l } x + 2 y \leq 14 \\3 x + 2 y \leq 18 \\- x + 2 y \leq 12 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 36
• B) 40
• C) 46
• D) 44

---

Definitions:

Volcanoes

Openings in the Earth's crust from which molten rock, ash, and gases are ejected, often forming mountains or craters.

Noxious Gases

Refers to harmful or toxic gases, which can be produced by natural processes such as volcanic eruptions or through human activities.

Volcanic Ash

Particles of volcanic tephra that are sand-sized or smaller, and accumulations of such material.

Geologic Hazards

Natural events caused by geological processes, such as earthquakes, landslides, and volcanic eruptions, that can potentially endanger human lives and property.