Select the Region Determined by the Constraints

question 17

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 8x + 9y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≥ 8
3x + 5y ≥ 30
​

• A)​ Maximum at (10, 0): 80
• B)​ Maximum at (3, 5): 68
• C)​ Maximum at (5, 3): 67
• D)​ Maximum at (0, 8): 72
• E)​ No maximum

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Definitions:

Physical Growth

The increase in size, strength, and development of the human body, typically observed through parameters such as height, weight, and muscular mass.

Growth Spurts

Rapid periods of physical growth typically observed in children and adolescents.

Continuous And Discontinuous

Pertaining to development theories, continuous development views psychological changes as gradual and incremental, while discontinuous development sees them as occurring in distinct stages.

Lifespan Human Development

An approach to studying human development that examines ways in which individuals grow, change, and stay the same throughout their lives, from conception to death.