consider the following mathematical model:
Min Z = f1(x1) + f2(x2)
subjet to
1. either x1 >= 3 or x2 >= 3
2. At most one of the following inequalities holds:
2×1 + x2 >= 7
x1 + x2 >= 5
x1 + 2×2 >= 7
3. |x1 – x2 | = 4
4. x1 >= 0, x2 >= 0, where f1(x1) = { 7+ 5×1 if x1 > 0, or f1(x1)= 0 if x1 = 0
f2(x2) = { 5 + 6×2, if x2 > 0, or f2(x2) = 0
Formulate this problem as an MIP problem.