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:

Reproductive System

A collection of organs and structures in the body responsible for producing offspring through sexual reproduction.

Peripheral Nervous System

Part of the nervous system outside the brain and spinal cord, responsible for connecting the CNS to limbs and organs, essentially serving as a relay between the brain and spinal cord and the rest of the body.

Somatic Nervous System

A component of the peripheral nervous system responsible for voluntarily managing movements of the body through skeletal muscles.

Autonomic Nervous System

The component of the nervous system that regulates automatic bodily functions, including the heart rate, digestion, and respiration, which are not under voluntary control.