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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:

Obligee

The party in a contract or agreement who is entitled to receive a performance or benefit from the obligor.

Obligor

An individual or entity legally obliged to provide a payment or service to another party under the terms of a contract.

Delegation

The act of entrusting another person with responsibility and authority to perform a specific task or function that was originally one's own duty.

Assignment

The act of transferring rights, duties, or responsibilities from one party to another, commonly seen in contracts or agreements.

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