Question: Consider the following all-integer linear program:Max x + y subject to 6x + 4y 22 5x + y 12 x + 2y 8 x, y

  1. Consider the following all-integer linear program:Max x + y subject to

6x + 4y 22

5x + y 12

x + 2y 8

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 ILP for this problem when y is the only integer (x is relaxed). (5 marks)

c. Find the optimal integer solution graphically (show your work). (5 marks)

Please use correct constraints to get upvote. do not copy paste previously answered question

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