Select the Region Determined by the Constraints

question 17

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 8x + 9y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≥ 8
3x + 5y ≥ 30
​

• A)​ Maximum at (10,0): 80
• B)​ Maximum at (3,5): 68
• C)​ Maximum at (5,3): 67
• D)​ Maximum at (0,8): 72
• E)​ No maximum

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Definitions:

Decision Making

The method of recognizing and selecting options according to the decision-maker's values, preferences, and convictions.

Cooperation

The process of groups of organisms working or acting together for common, mutual, or some underlying benefit, as opposed to working in competition for selfish benefit.

Functional Structure

An organizational design that groups employees by their similar skills, resource use, and expertise.

Economies of Scale

The cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale.