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

question 32

Multiple Choice

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

• A) There are four corner points including (50, 0) and (0, 12.5).
• B) The two corner points are (0, 0) and (50, 12.5).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region includes all points that satisfy one constraint, the other, or both.
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

---

Definitions:

Embryo

The early stage of development in multicellular organisms after fertilization, during which the groundwork for all organs and systems is laid.

Prenatal Development

The process of growth and development within the womb from conception to birth.

Fetus

A fetus is a stage in the development of a human or other mammal within the womb, typically after eight weeks of gestation, until birth.

Neuroimaging

The use of various techniques to directly or indirectly image the structure or function of the brain.