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.

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Definitions:

Autocratic Style

A management style characterized by individual control over all decisions and little input from group members, often leading to a clear, authoritative command structure.

Command-and-control

A traditional management style that relies on hierarchical structure, strict discipline, and clear orders.

Team Members

Individuals who are part of a group collaboratively working towards a common goal, sharing responsibilities and tasks.

Autocratic Leadership

A leadership style where the leader makes decisions unilaterally without consulting others, often exerting high levels of control over team members.