Solve the Following Problem Graphically

question 51

Essay

Solve the following problem graphically.
Min
6X + 11Y
s.t.
9X + 3Y ≥ 27
7X + 6Y ≥ 42
4X + 8Y ≥ 32
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 up to find a feasible integer solution. Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Missouri Admission

The process that led to Missouri becoming the 24th state of the United States in 1821, marked by debates over the extension of slavery into new territories.

Slavery Issue

The contention and debates surrounding the practice of slavery, including its moral, economic, and political implications.

Senate Balance

The proportion of political party representation in the United States Senate, impacting legislative decision-making and political dynamics.