Question: Consider the following all-integer linear program: Max1 x + 1 ysubject to 4x + 6y 22 x + 5y 15 2x + y 9 x,

Consider the following all-integer linear program:

Max1 x + 1 ysubject to 4x + 6y 22 x + 5y 15 2x + y 9 x, y 0 and both integers

a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. (3 marks)

b) Solve the LP Relaxation of this problem. (3 marks)

c) Find the optimal integer solution including all the calculations and all steps. (3 marks)

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