[ask] Integer Linear Programming with Java.

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: 

1. Pure (all) integer programming (PIP)
2. Mixed integer programming (MIP)
3. Zero-one integer programming (ZIP).

please solution in the source code java.