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Solve the Following Problem Graphically AGraph the Constraints for This Problem

Question 51

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.

Correct Answer:

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a.The feasible region is the set of inte...

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