Question: Question 2 (14 marks) Consider the following integer linear program (ILP): max 100.x1 + 64.x2 s.t 50x1 +31x2 -4 X1, C2 > 0 11, 12

Question 2 (14 marks) Consider the following

Question 2 (14 marks) Consider the following integer linear program (ILP): max 100.x1 + 64.x2 s.t 50x1 +31x2 -4 X1, C2 > 0 11, 12 E Z (a) By using the graphical method, solve the linear program that results by ignoring the integer constraints (this is called the linear programming relaxation of the program). (b) By trial and error, find the optimal solution when the integer constraint is included. (c) One potential method for solving an ILP is to solve the corresponding linear program relaxation before rounding the answers to the nearest integer. Do you think this is an effective method? Give reasons for your

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