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:

Employee Wellness

Programs or initiatives designed to promote healthy habits and improve the physical and mental health of employees in the workplace.

Geographical

Related to or based on the physical features, location, and characteristics of the earth or a specific area.

Individuals

Refers to single human beings, considered separately from a group or society.

Teams

Groups of people working together towards a common goal, often characterized by collaborative effort and shared responsibilities.