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1) Consider the following all-integer linear program: Max 2x+y subject to 4x + 6y 20 x + 5y = 11 2x + y 59 x,

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1) Consider the following all-integer linear program: Max 2x+y subject to 4x + 6y 20 x + 5y = 11 2x + y 59 x, y20 and both integers a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. (5 marks) b) Solve the LP Relaxation of this problem. (5 marks) c) Find the optimal integer solution (show your work)

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