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:

Labor Earnings

Income received by workers for their labor services, including wages, salaries, and other forms of compensation.

Government Policy

Actions or inactions chosen by government officials to address specific public issues, ranging from economic regulations to social welfare programs.

Natural Rate

Often refers to the natural rate of unemployment, which is the level of unemployment consistent with a stable rate of inflation, or the equilibrium rate unaffected by short-term fluctuations.

Fully Employed

Refers to a situation where all available labor resources are being used in the most economically efficient way.