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

question 5

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 6 x + 7 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 2 x + 3 y \leq 12 \\2 x + y \leq 8 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 32
• B) 52
• C) 13
• D) 24

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Definitions:

Meissner Corpuscles

Special nerve cells located in the skin that detect sensations of gentle touch.

Temperature Perception

The sensory detection and interpretation of changes in external and internal temperature by the body.

Cold Receptors

Specialized nerve receptors in the skin that detect cold temperatures and signal this information to the brain.

Pain Receptors

Sensory nerve cells that respond to damaging or potentially damaging stimuli by sending nerve signals to the spinal cord and brain, triggering the sensation of pain.