The Linear Programming Problem Has an Unusual Characteristic

question 240

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. ​
Z = x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 1
3x + y ≤ 6
​

• A)​ The constraint 3x + y ≤ 6 is extraneous. Minimum at (1, 1): 9
• B)​ The constraint 3x + y ≤ 6 is extraneous. No minimum.
• C)​ The constraint 3x + y ≤ 6 is extraneous. Minimum at (1, 0): 4
• D) The constraint 3x + y ≤ 6 is extraneous. Minimum at (0, 0): 0
• E)​ The constraint 3x + y ≤ 6 is extraneous. Minimum at (0, 1): 5

---

Definitions:

Restrictions On Imports

Regulatory measures imposed by a government to control the volume or type of goods that can be brought into a country from abroad, often to protect domestic industries.

Patented Intellectual Property

Intellectual property such as inventions or processes protected by a patent, granting the patent holder exclusive rights to use and benefit from that property.

Trademarked Brand

A trademarked brand is a brand that has been legally registered or established by use as representing a company or product.

License

A legal permission granted by a competent authority to engage in a certain activity or occupation that would be unlawful without such authorization.