Find the Minimum Value of the Objective Function and Where

question 67

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 4x + 16y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + y ≤ 12​ ​

• A)Minimum at (0, 0): 0
• B)Minimum at (6, 0): 49
• C)Minimum at (0, 6): 48
• D)Minimum at (12, 0): 192
• E)Minimum at (0, 12): 193

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Definitions:

Subproblems

Components or parts of a larger problem that can be addressed individually to contribute to the solution of the whole issue.

Subroutines

In computer programming, these are sequences of instructions designed to perform a specific task within a larger program.

Well-Defined Problems

Problems that have clear goals, clearly defined solution paths, and a clear expected solution.

Hierarchical Organization

A system or organization in which people or groups are ranked one above the other according to status or authority.