A Linear Programming Problem Has Three Constraints: 2X + 10Y

question 6

Multiple Choice

A linear programming problem has three constraints: 2X + 10Y ≤ 1004X + 6Y ≤ 1206X + 3Y ≤ 90
What is the largest quantity of X that can be made without violating any of these constraints?

• A) 50
• B) 30
• C) 20
• D) 15
• E) 10

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Definitions:

Insulin

A hormone produced by the pancreas that regulates blood sugar levels by facilitating the uptake of glucose into cells.

Acetone

A volatile, flammable, and colorless liquid ketone, often used as a solvent in the manufacture of plastics and other industrial products, as well as a nail polish remover.

Tetrahedral Geometry

A shape formed when a central atom is surrounded by four atoms at the corners of a tetrahedron.

Phenol

An organic compound consisting of a benzene ring bonded to a hydroxyl group, used in the manufacture of plastics and pharmaceuticals.