Use the Given Feasible Region Determined by the Constraint Inequalities $\mathrm { f } = 7 \mathrm { x } + 6 \mathrm { y }$

question 24

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
- $\mathrm { f } = 7 \mathrm { x } + 6 \mathrm { y }$ subject to the constraints
$$\left\{ \begin{array} { l } 3 x + 4 y \leq 165 \\x + 2 y \leq 77 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 385
• B) 231
• C) 275
• D) 0

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Definitions:

Involuntary Processes

Bodily functions and responses that occur without conscious control, such as breathing and heart rate.

Hindbrain

The posterior part of the brain comprising structures such as the cerebellum and brainstem, responsible for fundamental life functions.

Medulla

A section of the brainstem responsible for regulating vital bodily functions such as heart rate and breathing.

Neurons

Specialized cells of the nervous system that transmit information through electrical and chemical signals.