Use the Given Feasible Region Determined by the Constraint Inequalities $x$

question 112

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the values of $x$ and $y$ that give the minimum possible value of $f = 6 x + 8 y$ subject to the following constraint $\left\{ \begin{array} { l } 2 x + 4 y \geq 12 \\ 2 x + y \geq 8 \\ x \geq 0 , y \geq 0 \end{array} \right.$

• A) \(x = 0 , y = 3\)
• B) \(x = 0 , y = 0\)
• C) \(x = \frac { 10 } { 3 } , y = \frac { 4 } { 3 }\)
• D) \(x = 6 , y = 0\)

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Definitions:

Aversive Conditioning

A psychological process of learning involving the use of unpleasant stimuli to stop or change unwanted behaviors.

Unpleasant Consequences

Negative outcomes or penalties that follow undesired actions or behaviors, often used as deterrents.

Behavior Therapy

A therapeutic approach focused on changing negative behaviors into positive ones through reinforcement and conditioning techniques.

Undesired Behavior

Behavior that is considered unacceptable or inappropriate by society, an individual, or a specific group.