Sample questions: Code: 1. Complete the following integer program problem by using branch and bound? Min f = 4 x1 + 5 x2 Constraints x1 + 4 x2 ≥ 5 3 x1 + 2 x2 ≥ 7 x1, x2 ≥ 0 and integers. 2. Complete the following integer program problem by using branch and bound? Max f = 4 x1 + 5 x2 Constraints 3 x1 + 2 x2 ≤ 10 x1 + 4 x2 ≤ 11 3 x1 + 3 x2 ≤ 13 x1, x2 ≥ 0 and integers. 3. Complete the following integer program problem Gomory method? Max f = 4 x1 + 6 x2 + 2 x3 Constraints 4 x1 - 4 x2 ≤ 5 - X1 + 6 x2 ≤ 5 - X1 + x2 + x3 ≤ 5 x1, x2 ≥ 0 and integers. so many operational integer (integer programming), which must satisfy (linear mathematical model) linear programming. about the above must meet three prerequisites: Pure (all) integer programming (PIP) Mixed integer programming (MIP) Zero-one integer programming (ZIP). please solution in the source code java.