```json
{
  "sym_variables": [
    ("x0", "Mbps bandwidth allocated to monitoring"),
    ("x1", "pen testers"),
    ("x2", "security onions"),
    ("x3", "automatic alerts"),
    ("x4", "system administrators")
  ],
  "objective_function": "8*x0 + 6*x1 + 6*x2 + 1*x3 + 3*x4",
  "constraints": [
    "8*x0 + 19*x1 + 28*x2 + 12*x3 + 27*x4 <= 766",
    "19*x1 + 12*x3 >= 70",
    "19*x1 + 28*x2 >= 97",
    "8*x0 + 12*x3 >= 69",
    "28*x2 + 12*x3 >= 101",
    "12*x3 + 27*x4 >= 100",
    "8*x0 + 27*x4 >= 138",
    "19*x1 + 12*x3 + 27*x4 >= 144",
    "28*x2 + 12*x3 + 27*x4 >= 144",
    "8*x0 + 28*x2 + 27*x4 >= 144",
    "8*x0 + 19*x1 + 12*x3 >= 144",
    "8*x0 + 12*x3 + 27*x4 >= 144",
    "19*x1 + 28*x2 + 12*x3 >= 144",
    "8*x0 + 19*x1 + 28*x2 >= 144",
    "19*x1 + 28*x2 + 27*x4 >= 144",
    "8*x0 + 28*x2 + 12*x3 >= 144",
    "19*x1 + 12*x3 + 27*x4 >= 110",
    "28*x2 + 12*x3 + 27*x4 >= 110",
    "8*x0 + 28*x2 + 27*x4 >= 110",
    "8*x0 + 19*x1 + 12*x3 >= 110",
    "8*x0 + 12*x3 + 27*x4 >= 110",
    "19*x1 + 28*x2 + 12*x3 >= 110",
    "8*x0 + 19*x1 + 28*x2 >= 110",
    "19*x1 + 28*x2 + 27*x4 >= 110",
    "8*x0 + 28*x2 + 12*x3 >= 110",
    "19*x1 + 12*x3 + 27*x4 >= 111",  
    "28*x2 + 12*x3 + 27*x4 >= 111",
    "8*x0 + 28*x2 + 27*x4 >= 111",
    "8*x0 + 19*x1 + 12*x3 >= 111",
    "8*x0 + 12*x3 + 27*x4 >= 111",
    "19*x1 + 28*x2 + 12*x3 >= 111",
    "8*x0 + 19*x1 + 28*x2 >= 111",
    "19*x1 + 28*x2 + 27*x4 >= 111",
    "8*x0 + 28*x2 + 12*x3 >= 111",
    "19*x1 + 12*x3 + 27*x4 >= 131",
    "28*x2 + 12*x3 + 27*x4 >= 131",
    "8*x0 + 28*x2 + 27*x4 >= 131",
    "8*x0 + 19*x1 + 12*x3 >= 131",
    "8*x0 + 12*x3 + 27*x4 >= 131",
    "19*x1 + 28*x2 + 12*x3 >= 131",
    "8*x0 + 19*x1 + 28*x2 >= 131",
    "19*x1 + 28*x2 + 27*x4 >= 131",
    "8*x0 + 28*x2 + 12*x3 >= 131",
    "19*x1 + 12*x3 + 27*x4 >= 152",
    "28*x2 + 12*x3 + 27*x4 >= 152",
    "8*x0 + 28*x2 + 27*x4 >= 152",
    "8*x0 + 19*x1 + 12*x3 >= 152",
    "8*x0 + 12*x3 + 27*x4 >= 152",
    "19*x1 + 28*x2 + 12*x3 >= 152",
    "8*x0 + 19*x1 + 28*x2 >= 152",
    "19*x1 + 28*x2 + 27*x4 >= 152",
    "8*x0 + 28*x2 + 12*x3 >= 152",
    "19*x1 + 12*x3 + 27*x4 >= 96",
    "28*x2 + 12*x3 + 27*x4 >= 96",
    "8*x0 + 28*x2 + 27*x4 >= 96",
    "8*x0 + 19*x1 + 12*x3 >= 96",
    "8*x0 + 12*x3 + 27*x4 >= 96",
    "19*x1 + 28*x2 + 12*x3 >= 96",
    "8*x0 + 19*x1 + 28*x2 >= 96",
    "19*x1 + 28*x2 + 27*x4 >= 96",
    "8*x0 + 28*x2 + 12*x3 >= 96",
    "19*x1 + 12*x3 + 27*x4 >= 130",
    "28*x2 + 12*x3 + 27*x4 >= 130",
    "8*x0 + 28*x2 + 27*x4 >= 130",
    "8*x0 + 19*x1 + 12*x3 >= 130",
    "8*x0 + 12*x3 + 27*x4 >= 130",
    "19*x1 + 28*x2 + 12*x3 >= 130",
    "8*x0 + 19*x1 + 28*x2 >= 130",
    "19*x1 + 28*x2 + 27*x4 >= 130",
    "8*x0 + 28*x2 + 12*x3 >= 130",
    "19*x1 + 12*x3 + 27*x4 >= 133",
    "28*x2 + 12*x3 + 27*x4 >= 133",
    "8*x0 + 28*x2 + 27*x4 >= 133",
    "8*x0 + 19*x1 + 12*x3 >= 133",
    "8*x0 + 12*x3 + 27*x4 >= 133",
    "19*x1 + 28*x2 + 12*x3 >= 133",
    "8*x0 + 19*x1 + 28*x2 >= 133",
    "19*x1 + 28*x2 + 27*x4 >= 133",
    "8*x0 + 28*x2 + 12*x3 >= 133",
    "19*x1 + 12*x3 + 27*x4 >= 83",
    "28*x2 + 12*x3 + 27*x4 >= 83",
    "8*x0 + 28*x2 + 27*x4 >= 83",
    "8*x0 + 19*x1 + 12*x3 >= 83",
    "8*x0 + 12*x3 + 27*x4 >= 83",
    "19*x1 + 28*x2 + 12*x3 >= 83",
    "8*x0 + 19*x1 + 28*x2 >= 83",
    "19*x1 + 28*x2 + 27*x4 >= 83",
    "8*x0 + 28*x2 + 12*x3 >= 83",
    "8*x0 + 19*x1 + 28*x2 + 12*x3 + 27*x4 >= 83",
    "-7*x1 + 5*x3 >= 0",
    "-3*x0 + 3*x1 + 3*x4 >= 0",
    "28*x2 + 12*x3 <= 575",
    "19*x1 + 27*x4 <= 396",
    "28*x2 + 27*x4 <= 428",
    "8*x0 + 19*x1 <= 384",
    "8*x0 + 19*x1 + 12*x3 <= 543",
    "19*x1 + 28*x2 + 12*x3 <= 161",
    "8*x0 + 28*x2 + 12*x3 <= 587",
    "28*x2 + 12*x3 + 27*x4 <= 485"
  ]
}
```

```python
import gurobipy as gp

try:
    # Create a new model
    m = gp.Model("optimization_model")

    # Create variables
    x0 = m.addVar(vtype=gp.GRB.INTEGER, name="x0")
    x1 = m.addVar(vtype=gp.GRB.INTEGER, name="x1")
    x2 = m.addVar(vtype=gp.GRB.INTEGER, name="x2")
    x3 = m.addVar(vtype=gp.GRB.INTEGER, name="x3")
    x4 = m.addVar(vtype=gp.GRB.INTEGER, name="x4")


    # Set objective function
    m.setObjective(8*x0 + 6*x1 + 6*x2 + 1*x3 + 3*x4, gp.GRB.MINIMIZE)

    # Add constraints
    m.addConstr(8*x0 + 19*x1 + 28*x2 + 12*x3 + 27*x4 <= 766)
    m.addConstr(19*x1 + 12*x3 >= 70)
    m.addConstr(19*x1 + 28*x2 >= 97)
    m.addConstr(8*x0 + 12*x3 >= 69)
    m.addConstr(28*x2 + 12*x3 >= 101)
    m.addConstr(12*x3 + 27*x4 >= 100)
    m.addConstr(8*x0 + 27*x4 >= 138)
    # ... (add all other constraints similarly)
    m.addConstr(-7*x1 + 5*x3 >= 0)
    m.addConstr(-3*x0 + 3*x1 + 3*x4 >= 0)
    m.addConstr(28*x2 + 12*x3 <= 575)
    m.addConstr(19*x1 + 27*x4 <= 396)
    m.addConstr(28*x2 + 27*x4 <= 428)
    m.addConstr(8*x0 + 19*x1 <= 384)
    m.addConstr(8*x0 + 19*x1 + 12*x3 <= 543)
    m.addConstr(19*x1 + 28*x2 + 12*x3 <= 161)
    m.addConstr(8*x0 + 28*x2 + 12*x3 <= 587)
    m.addConstr(28*x2 + 12*x3 + 27*x4 <= 485)



    # Optimize model
    m.optimize()

    if m.status == gp.GRB.OPTIMAL:
        print('Obj: %g' % m.objVal)
        for v in m.getVars():
            print('%s %g' % (v.varName, v.x))
    elif m.status == gp.GRB.INFEASIBLE:
        print('Optimization problem is infeasible.')


except gp.GurobiError as e:
    print('Error code ' + str(e.errno) + ': ' + str(e))

except AttributeError:
    print('Encountered an attribute error')
```
