Use Graphical Methods to Solve the Linear Programming Problem

question 8

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Minimize z = 4x + 5y subject to:
2x - 4y ≤ 10
2x + y ≥ 15
x ≥ 0
Y ≥ 0

• A)Minimum of 33 when x = 7 and y = 1
• B)Minimum of 39 when x = 1 and y = 7
• C)Minimum of 20 when x = 5 and y = 0
• D)Minimum of 75 when x = 0 and y = 15

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Definitions:

Condorcet Paradox

The Condorcet Paradox describes a situation in voting theory where collective preferences can be cyclical, even if individual preferences are not, leading to a lack of clear majority preference.

Pairwise Vote

A voting system where candidates are compared and voted on in pairs, with the winner being the one who wins the most direct comparisons.

Unanimity

A condition in decision-making where all members of a group fully agree on a specific decision or outcome.

Independence of Irrelevant Alternatives

A decision-making principle asserting that the relative preference between two options should not be affected by the introduction of a third irrelevant option.