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

1) Consider the following all-integer linear program:

Max 2 x + y subject to

4x + 6y 20

x + 5y 11

2x + y 9

x, y 0 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). (5 marks)

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