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

question 42

Essay

Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain.
Min
1X + 1Y
s.t.
5X + 3Y $\ge$ 30
3X + 4Y $\ge$ 36
Y $\ge$ 7
X , Y $\ge$ 0

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Definitions:

Utility

An economic term denoting the total satisfaction received from consuming a good or service.

Endowment Effect

A mental prejudice in which individuals attribute higher worth to items simply because they possess them.

Prospect Theory

A behavioral economic theory that describes how people make decisions between probabilistic alternatives that involve risk, where the outcomes are known.

Identical Item

A product or object that is exactly the same in every aspect as another, with no variations.