Find the Minimum Value of the Objective Function and Where

question 85

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 5y
​
Constraints:
​
X ≥ 0
​3x - y ≤ 9
2x + 3y ≥ 6
X + 4y ≤ 16
​​ ​

• A)Minimum at (0, 2): 10
• B)Minimum at (4, 3): 31
• C)Minimum at (0, 3): 11
• D)Minimum at (3, 0): 12
• E)Minimum at (0, 4): 20

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Definitions:

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement and has a role in activities such as decision-making, problem-solving, and planning.

Motor Cortex

The region of the cerebral cortex involved in planning, controlling, and executing voluntary movements.

Occipital Lobes

The region of the brain located at the back of the head, primarily responsible for processing visual information.

Temporal Lobes

Regions of the brain located on either side of the brain, involved in processing auditory information and encoding memory.