Consider the Following Constraints from a Two-Variable Linear Program

question 32

Multiple Choice

Consider the following constraints from a two-variable Linear Program.
(1) X ≥ 0
(2) Y ≥ 0
(3) 10X + 4Y ≤ 110
(4) 5X - Y ≤ 40
If constraints (3) and (4) are binding, what is the optimal solution (X, Y) ?

• A) (11, 0)
• B) (0, 27.5)
• C) (0, -40)
• D) (9, 5)
• E) not enough information is provided to answer the problem

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Definitions:

Food-Producing Society

Societies that rely primarily on agriculture and animal husbandry for their sustenance, having transitioned from foraging and hunting-gathering modes of subsistence.

Foraging

The act of searching for and exploiting food resources by animals, including hunting, fishing, and gathering plant materials.

Pastoralism

The breeding and managing of migratory herds of domesticated grazing animals, such as goats, sheep, cattle, llamas, and camels.

Subsistence

The action or fact of maintaining or supporting oneself, especially at a minimal level.