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:

Stretching

A form of physical exercise aimed at improving flexibility and muscle elasticity by lengthening specific muscles or tendons.

Sex Differences

Variations in characteristics, behaviors, or conditions between males and females, often influenced by biological, psychological, or social factors.

Flexibility

The ability of a joint or series of joints to move through an unrestricted, pain-free range of motion.

Stretching

The process of gently elongating muscles and tendons to improve flexibility, range of motion, and reduce the risk of injury.