Find the Minimum Value of the Objective Function and Where

question 169

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 10x + 4y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420
​​ ​

• A)Minimum at (0, 0): 0
• B)Minimum at (60, 20): 680
• C)Minimum at (0, 45): 180
• D)Minimum at (60, 0): 600
• E)Minimum at (30, 45): 480

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Definitions:

Intermittent Strike

A form of industrial action where employees strike for short periods of time, unpredictably, making it harder for employers to prepare alternative strategies.

Mediators

Neutral third parties who facilitate negotiations or conflict resolution between disputing parties, aiming to achieve a mutually acceptable agreement.

Third Party Dispute

A conflict that involves an external party to assist in resolving a disagreement or dispute between two other parties, often in the context of labor relations.

Bargaining Impasse

A situation in labor negotiations where the union and the employer are unable to reach an agreement, potentially leading to strikes or lockouts.