Find the Maximum Value of the Objective Function and Where

question 210

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 2x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​ ​

• A)Maximum at (6, 0): 24
• B)Maximum at (12, 0): 97
• C)Maximum at (0, 6): 25
• D)Maximum at (0, 12): 96
• E)Maximum at (0, 0): 0

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Definitions:

Hepatic Portal Circulation

The system of blood vessels that carry blood from the gastrointestinal tract and spleen to the liver, facilitating nutrient processing.

Digestive

Pertains to the system in the body responsible for breaking down food into nutrients and waste.

Tunica Intima

The innermost layer of a blood vessel, composed of endothelial cells that line the interior surface of the vessel.

Endothelium

A thin layer of cells lining the interior surface of blood vessels and lymphatic vessels.