Select the Region Determined by the Constraints

question 209

Multiple Choice

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​

• A)​ Minimum at (0, 5): 40
• B)​ Minimum at (0, 5): 41
• C)​ Minimum at (4, 1): 44
• D)​ Minimum at (6, 0): 54
• E)​ No minimum

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Definitions:

Semantic Memory

Type of declarative memory containing general knowledge, such as knowledge of language and information learned in formal education.

Long-term Memory

Refers to the continuous storage of information over a prolonged period, beyond the scope of working memory, capable of holding a vast amount of information ranging from minutes to decades.

Working Memory

A cognitive system with a limited capacity that is responsible for temporarily holding information available for processing.

Filing Cabinet

A piece of office furniture used for storing documents, files, and other materials in an organized manner.