Find the Maximum Value of the Objective Function and Where

question 10

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 9x + 5y
​
Constraints:
​
0 ≤ x ≤ 60
0 ≤ y ≤ 45
5x + 6y ≤ 420​ ​

• A)Maximum at (0,45): 225
• B)Maximum at (0,0): 0
• C)Maximum at (30,45): 495
• D)Maximum at (60,20): 640
• E)Maximum at (60,0): 540

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Definitions:

Unilateral

Relating to one side only; often used in medical contexts to describe symptoms or conditions affecting only one side of the body.

Tissue

An ensemble of similar cells and their extracellular matrix from the same origin that together carry out a specific function.

Specialized Functions

Tasks or activities that are particular to a specific organ, system, or profession, requiring specific knowledge or skill.

Brach/i

A combining form meaning arm, or relating to the arm or branches.