Use the Given Feasible Region Determined by the Constraint Inequalities $f = 4 x + 3 y$

question 186

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
- $f = 4 x + 3 y$ subject to the constraints
$$\left\{ \begin{array} { l } 2 x + y \leq 12 \\x + 2 y \leq 14 \\x + y \leq 8 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 24
• B) 21
• C) 0
• D) 26

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Definitions:

Non-servo Drum Brake

A type of drum brake system that relies on a simpler mechanism without servo action, often found in older or less complex vehicles.

Leading Shoe

A component of drum brake systems, it refers to the brake shoe positioned towards the front of the vehicle that comes into contact with the brake drum first when brakes are applied.

Energized

Describes an electrical component that is carrying current or a system that is under power.

Disc/drum Hydraulic Brake

A type of brake system that uses hydraulic fluid to press brake pads against a disc or shoes against a drum to slow or stop a vehicle.