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Does the Following Linear Programming Problem Exhibit Infeasibility, Unboundedness, or Alternate

question 13

Essay

Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain.
Min
3X + 3Y
s.t.
1X + 2Y ≤ 16
1X + 1Y ≤ 10
5X + 3Y ≤ 45
X , Y ≥ 0


Definitions:

Leisure Class

A social group that enjoys privileges allowing its members to spend a significant amount of their time in leisure activities, rather than work, often seen in societal hierarchies or affluent communities.

Wealthy Family

A family characterized by possessing significant financial resources, assets, and income, which provides them with a high socioeconomic status.

Social Class

A categorization of individuals based on economic, political, or cultural aspects, often influencing access to resources and opportunities.

Upper-Middle Class

A social class that is above the middle class, characterized by higher income, education, and occupational prestige.

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