Solve the Following Problem Graphically

question 10

Essay

Solve the following problem graphically.
Max
5X + 6Y
s.t.
17X + 8Y ≤ 136
3X + 4Y ≤ 36
X, Y ≥ 0 and integer
​
a.Graph the constraints for this problem. Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Talcott Parsons

An influential American sociologist known for his development of a general theory for the study of society, which he called structural functionalism.

Protestant Ethic

A concept associating Protestantism with the virtues of hard work, thrift, and efficiency in one’s worldly calling, suggested by Max Weber to have contributed to the economic success of Western societies.

Class Consciousness

The awareness of one's social class and its implications, often leading to collective action or social change.

False Consciousness

A concept in Marxist theory referring to the misperception of one's actual social or economic position within society.