A Linear Programming Problem Has Two Constraints 2X + 4Y

question 25

Multiple Choice

A linear programming problem has two constraints 2X + 4Y = 100 and 1X + 8Y ≤ 100, plus non-negativity constraints on X and Y. Which of the following statements about its feasible region is true?

• A) The points (100, 0) and (0, 25) both lie outside the feasible region.
• B) The two corner points are (33-1/3, 8-1/3) and (50, 0).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region is a straight line segment, not an area.
• E) All of the above are true.

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Definitions:

Atoms Produce Light

The phenomenon where atoms emit light when electrons jump from higher to lower energy levels, releasing photons.

Continuous Spectrum

A seamless spectrum of light (or other electromagnetic radiation) in which every wavelength within a certain range is represented.

Energy Level

The specific amount of energy an electron can have when occupying a certain orbital in an atom.

Atom

The basic unit of a chemical element, consisting of a nucleus of protons and neutrons, and electrons orbiting the nucleus.