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

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Definitions:

Correlation Coefficient

A statistical measure that indicates the extent to which two variables fluctuate together, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Alternate Forms Reliability

The extent to which two versions of a test are consistent in their measurements across the same group of individuals.

Test-Retest Reliability

The consistency of an individual's score on the same test administered at two different times.

Validity

The extent to which a test, tool, or method accurately measures what it is intended to measure.