The Linear Programming Problem Has an Unusual Characteristic

question 152

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​
Objective function:
​
Z = -x + 2y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X ≤ 10
X + y ≤ 8
​

• A)​ The constraint x ≤ 10 is extraneous. Minimum at (0, 8): 16
• B) The constraint x ≤ 10 is extraneous. Minimum at (8, 0): -8
• C) The constraint x ≤ 10 is extraneous. No minimum.
• D) The constraint x ≤ 10 is extraneous. Minimum at (8, 8): 8
• E) The constraint x ≤ 10 is extraneous. Minimum at (0, 0): 0

---

Definitions:

Economic Development

The process of improving economic well-being and quality of life through growth and development, often through government policies and programs.

North America

A continent in the Northern Hemisphere and almost entirely within the Western Hemisphere; it includes countries such as Canada, the United States, and Mexico.

King George's War

The North American theater of the War of the Austrian Succession (1740-1748) involving French and British colonies.

New England

A region in the northeastern United States known for its colonial history, comprising states such as Massachusetts, Connecticut, Rhode Island, New Hampshire, Vermont, and Maine.