```json
{
  "sym_variables": [
    ("x0", "network administrators"),
    ("x1", "security engineers"),
    ("x2", "patches per day"),
    ("x3", "intrusion analysts"),
    ("x4", "system administrators"),
    ("x5", "deployed decoys")
  ],
  "objective_function": "5.04*x0 + 3.05*x1 + 8.67*x2 + 7.16*x3 + 9.53*x4 + 6.62*x5",
  "constraints": [
    "4*x0 + 2*x1 + 19*x2 + 10*x3 + 15*x4 + 14*x5 <= 523",
    "13*x0 + 14*x1 + 2*x2 + 4*x3 + 8*x4 + 17*x5 <= 505",
    "4*x0 + 19*x2 >= 80",
    "2*x1 + 19*x2 >= 68",
    "2*x1 + 14*x5 >= 29",
    "19*x2 + 10*x3 >= 56",
    "4*x0 + 2*x1 + 19*x2 + 10*x3 + 15*x4 + 14*x5 >= 56",
    "4*x3 + 8*x4 >= 61",
    "2*x2 + 4*x3 >= 52",
    "13*x0 + 4*x3 >= 55",
    "2*x2 + 8*x4 >= 57",
    "2*x2 + 17*x5 >= 39",
    "8*x4 + 17*x5 >= 42",
    "13*x0 + 14*x1 + 4*x3 >= 49",
    "14*x1 + 8*x4 + 17*x5 >= 49",
    "2*x2 + 4*x3 + 8*x4 >= 49",
    "14*x1 + 2*x2 + 4*x3 >= 49",
    "2*x2 + 4*x3 + 17*x5 >= 49",
    "13*x0 + 8*x4 + 17*x5 >= 49",
    "13*x0 + 14*x1 + 4*x3 >= 61",
    "14*x1 + 8*x4 + 17*x5 >= 61",
    "2*x2 + 4*x3 + 8*x4 >= 61",
    "14*x1 + 2*x2 + 4*x3 >= 61",
    "2*x2 + 4*x3 + 17*x5 >= 61",
    "13*x0 + 8*x4 + 17*x5 >= 61",
    "13*x0 + 14*x1 + 4*x3 >= 43",
    "14*x1 + 8*x4 + 17*x5 >= 43",
    "2*x2 + 4*x3 + 8*x4 >= 43",
    "14*x1 + 2*x2 + 4*x3 >= 43",
    "2*x2 + 4*x3 + 17*x5 >= 43",
    "13*x0 + 8*x4 + 17*x5 >= 43",
    "13*x0 + 14*x1 + 4*x3 >= 55",
    "14*x1 + 8*x4 + 17*x5 >= 55",
    "2*x2 + 4*x3 + 8*x4 >= 55",
    "14*x1 + 2*x2 + 4*x3 >= 55",
    "2*x2 + 4*x3 + 17*x5 >= 55",
    "13*x0 + 8*x4 + 17*x5 >= 55",
    "13*x0 + 14*x1 + 4*x3 >= 59",
    "14*x1 + 8*x4 + 17*x5 >= 59",
    "2*x2 + 4*x3 + 8*x4 >= 59",
    "14*x1 + 2*x2 + 4*x3 >= 59",
    "2*x2 + 4*x3 + 17*x5 >= 59",
    "13*x0 + 8*x4 + 17*x5 >= 59",
    "13*x0 + 14*x1 + 4*x3 >= 51",
    "14*x1 + 8*x4 + 17*x5 >= 51",
    "2*x2 + 4*x3 + 8*x4 >= 51",
    "14*x1 + 2*x2 + 4*x3 >= 51",
    "2*x2 + 4*x3 + 17*x5 >= 51",
    "13*x0 + 8*x4 + 17*x5 >= 51",
    "13*x0 + 14*x1 + 2*x2 + 4*x3 + 8*x4 + 17*x5 >= 51",
    "-x0 + 7*x5 >= 0",
    "-2*x2 + 3*x5 >= 0",
    "4*x2 + 7*x3 - 2*x4 >= 0",
    "19*x2 + 10*x3 <= 414",
    "4*x0 + 10*x3 <= 139",
    "4*x0 + 19*x2 <= 189",
    "19*x2 + 14*x5 <= 520",
    "19*x2 + 15*x4 <= 151",
    "10*x3 + 15*x4 <= 389",
    "4*x0 + 14*x5 <= 478",
    "4*x0 + 15*x4 <= 212",
    "2*x1 + 10*x3 <= 258",
    "15*x4 + 14*x5 <= 167",
    "2*x1 + 19*x2 + 10*x3 <= 106",
    "19*x2 + 15*x4 + 14*x5 <= 378",
    "13*x0 + 14*x1 <= 294",
    "13*x0 + 17*x5 <= 136",
    "2*x2 + 8*x4 + 17*x5 <= 424",
    "13*x0 + 8*x4 + 17*x5 <= 102",
    "2*x2 + 4*x3 + 17*x5 <= 244",
    "14*x1 + 2*x2 + 17*x5 <= 328",
    "14*x1 + 2*x2 + 4*x3 <= 281",
    "14*x1 + 8*x4 + 17*x5 <= 229",
    "13*x0 + 4*x3 + 8*x4 <= 351",
    "14*x1 + 4*x3 + 17*x5 <= 135"
  ]
}
```

```python
import gurobipy as gp

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

    # Create variables
    x0 = m.addVar(vtype=gp.GRB.INTEGER, name="network_administrators")
    x1 = m.addVar(vtype=gp.GRB.INTEGER, name="security_engineers")
    x2 = m.addVar(vtype=gp.GRB.INTEGER, name="patches_per_day")
    x3 = m.addVar(vtype=gp.GRB.INTEGER, name="intrusion_analysts")
    x4 = m.addVar(vtype=gp.GRB.INTEGER, name="system_administrators")
    x5 = m.addVar(vtype=gp.GRB.INTEGER, name="deployed_decoys")


    # Set objective function
    m.setObjective(5.04*x0 + 3.05*x1 + 8.67*x2 + 7.16*x3 + 9.53*x4 + 6.62*x5, gp.GRB.MINIMIZE)

    # Add constraints
    m.addConstr(4*x0 + 2*x1 + 19*x2 + 10*x3 + 15*x4 + 14*x5 <= 523, "r0")
    m.addConstr(13*x0 + 14*x1 + 2*x2 + 4*x3 + 8*x4 + 17*x5 <= 505, "r1")
    m.addConstr(4*x0 + 19*x2 >= 80, "c3")
    m.addConstr(2*x1 + 19*x2 >= 68, "c4")
    m.addConstr(2*x1 + 14*x5 >= 29, "c5")
    m.addConstr(19*x2 + 10*x3 >= 56, "c6")
    m.addConstr(4*x0 + 2*x1 + 19*x2 + 10*x3 + 15*x4 + 14*x5 >= 56, "c7")
    # ... (add all other constraints similarly)
    # Constraints from -x0 + 7x5 >= 0 to 14x1 + 4x3 + 17x5 <= 135

    # 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')
```