Find the Maximum Value of the Objective Function and Where

question 13

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
​
Z = 5x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16
​​ ​

• A)Maximum at (3,4): 47
• B)Maximum at (4,0): 20
• C)Maximum at (5,0): 44
• D)Maximum at (0,5): 40
• E)Maximum at (0,0): 0

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Definitions:

Work Stress

The response individuals may have when presented with work demands and pressures that are not matched to their knowledge and abilities.

Stressors

Factors or events that cause stress to an individual.

Stress Reaction

The physical, mental, or emotional response to a perceived threat, challenge, or change, often characterized by increased alertness and readiness for action.

Hindrance Stressors

Situational factors that obstruct personal growth, achievement, or goal attainment, causing stress.