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:

Union

In mathematics, specifically in set theory, the union of a collection of sets is the set of all distinct elements that are in any of those sets.

Intersection

A mathematical term describing the point or set of points where two lines, curves, shapes, or surfaces meet.

Event

A collection of sample points.

Past Due Accounts

Accounts that have not been settled or paid by their due date.