The Linear Programming Problem Has an Unusual Characteristic

question 49

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 maximum 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) Maximum at (0.5,1.5): 2
• B) The region determined by the constraints is unbounded.For this unbounded region,there is no maximum value of z.
• C) Maximum at (0,1): 1
• D) Maximum at (0,0): 0
• E) Maximum at (1.5,0.5): 2

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Definitions:

Forgetting

The loss or inability to recall information that was previously encoded into long-term memory.

Seconds

The base unit of time in the International System of Units (SI), defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom.

Steps to Memory

The process of memory formation, typically involving encoding, storage, and retrieval of information.

Sensing

The process of receiving information from the environment via sensory organs.