VG441 Homework 3

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Problem 1
Formulate the set cover problem as a mixed integer linear program (MILP). Define decision
variables, objective, and constraints clearly. Solve the problem on Page 4 of LEC015 using
Gurobi. (20 pt)
Problem 2
Prove that the greedy rule is optimal for the Fractional Knapsack Problem. (20 pt)