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Solve the Following Problem Graphically AGraph the Constraints for This Problem

question 38

Essay

Solve the following problem graphically.

 Min 6X+11Y s.t. 9X+3Y277X+6Y424X+8Y32X,Y0 and integer \begin{array} { l l } \text { Min } & 6 X + 11 Y \\\text { s.t. } & 9 X + 3 Y \geq 27 \\& 7 X + 6 Y \geq 42 \\& 4 X + 8 Y \geq 32 \\& X , Y \geq 0 \text { and integer }\end{array}
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.


Definitions:

Borg

A fictional collective from the "Star Trek" universe that assimilates species and technologies to achieve perfection.

Crater

A bowl-shaped cavity on the surface of a planet, moon, or asteroid, typically caused by the impact of a meteorite.

Ratification

The act of approving or sanctioning an agreement or treaty that makes it officially valid.

Unauthorized Act

An action taken by an individual or entity without permission or authority, potentially leading to legal consequences or invalidation of the act.

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