The Linear Programming Problem Has an Unusual Characteristic

question 215

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 + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
-x + y ≤ 1
-x + 5y ≤ 7
​

• A) Minimum at (0, 1): 1
• B) Minimum at (1.5, 0.5): 2
• C) Minimum at (0.5, 1.5): 2
• D)​ Minimum at (0, 0): 0
• E) No minimum.

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Definitions:

Spinal Nerves

Nerves that branch out from the spinal cord, transmitting motor, sensory, and autonomic messages between the body and the spinal cord.

Cranial Nerves

Twelve pairs of nerves that emerge directly from the brain, not the spinal cord, serving head and neck functions.

Spinal Nerves

Nerves that emerge from the spinal cord, responsible for transmitting motor, sensory, and autonomic signals between the spinal cord and the body.

Homeostasis

The tendency of a biological system to maintain stable internal conditions despite external changes.