Find the Maximum Value of the Objective Function and Where

question 38

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 3y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 4​
​​ ​

• A)Maximum at (4, 0): 17
• B)Maximum at (0, 4): 12
• C)Maximum at (0, 0): 0
• D)Maximum at (4, 0): 16
• E)Maximum at (0, 4): 13

Recognize the signs and causes of common sleep phenomena and disorders.

Identify historical milestones and methodologies in the scientific study of sleep.

Comprehend the variations in sleep patterns by age and the development of sleep cycles.

Understand the functional roles and biological mechanisms regulating sleep and wakefulness.

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Definitions:

Synthesized Proteins

Proteins created through the process of translation where ribosomes construct protein molecules from RNA messages.

Intracellular Mediator

A substance inside a cell that transmits signals from a receptor to a target, often amplifying the signal and resulting in a cellular response.

Water-soluble Hormone

A hormone that dissolves in water, facilitating rapid response and transport in the body.

Membrane Receptor

A protein molecule embedded within, or attached to, the membrane of a cell that receives chemical signals from outside the cell.