```json
{
  "sym_variables": [
    ("x0", "honeypots"),
    ("x1", "patches per day"),
    ("x2", "intrusion analysts"),
    ("x3", "security engineers")
  ],
  "objective_function": "3*x0 + 6*x1 + 1*x2 + 1*x3",
  "constraints": [
    "9*x0 + 2*x1 + 9*x2 + 2*x3 <= 231",
    "12*x0 + 12*x1 + 15*x2 + 17*x3 <= 204",
    "6*x0 + 17*x1 + 14*x2 + 4*x3 <= 325",
    "6*x0 + 4*x1 + 3*x2 + 14*x3 <= 159",
    "9*x0 + 9*x2 + 2*x3 >= 44",
    "9*x0 + 2*x1 + 9*x2 >= 44",
    "9*x0 + 2*x1 + 2*x3 >= 44",
    "9*x0 + 9*x2 + 2*x3 >= 53",
    "9*x0 + 2*x1 + 9*x2 >= 53",
    "9*x0 + 2*x1 + 2*x3 >= 53",
    "9*x0 + 9*x2 + 2*x3 >= 33",
    "9*x0 + 2*x1 + 9*x2 >= 33",
    "9*x0 + 2*x1 + 2*x3 >= 33",
    "12*x1 + 15*x2 + 17*x3 >= 47",
    "12*x0 + 12*x1 + 17*x3 >= 47",
    "12*x0 + 15*x2 + 17*x3 >= 47",
    "12*x1 + 15*x2 + 17*x3 >= 34",
    "12*x0 + 12*x1 + 17*x3 >= 34",
    "12*x0 + 15*x2 + 17*x3 >= 34",
    "12*x1 + 15*x2 + 17*x3 >= 49",
    "12*x0 + 12*x1 + 17*x3 >= 49",
    "12*x0 + 15*x2 + 17*x3 >= 49",
    "17*x1 + 4*x3 >= 65",
    "6*x0 + 4*x3 >= 52",
    "17*x1 + 14*x2 + 4*x3 >= 58",
    "6*x0 + 17*x1 + 14*x2 >= 58",
    "6*x0 + 14*x2 + 4*x3 >= 73",
    "17*x1 + 14*x2 + 4*x3 >= 73",
    "6*x0 + 17*x1 + 14*x2 >= 73",
    "6*x0 + 14*x2 + 4*x3 >= 54",
    "17*x1 + 14*x2 + 4*x3 >= 54",
    "6*x0 + 17*x1 + 14*x2 >= 54",
    "6*x0 + 14*x2 + 4*x3 >= 29",
    "6*x0 + 4*x1 + 3*x2 >= 29",
    "6*x0 + 3*x2 + 14*x3 >= 34",
    "6*x0 + 4*x1 + 3*x2 >= 34",
    "9*x0 + 2*x1 <= 108",
    "2*x1 + 2*x3 <= 209",
    "9*x0 + 2*x1 + 2*x3 <= 75",
    "9*x0 + 2*x1 + 9*x2 + 2*x3 <= 75",
    "12*x0 + 15*x2 <= 74",
    "12*x0 + 17*x3 <= 57",
    "12*x1 + 17*x3 <= 152",
    "12*x1 + 15*x2 <= 199",
    "15*x2 + 17*x3 <= 110",
    "12*x0 + 12*x1 + 15*x2 <= 126",
    "12*x1 + 15*x2 + 17*x3 <= 97",
    "12*x0 + 15*x2 + 17*x3 <= 167",
    "12*x0 + 12*x1 + 15*x2 + 17*x3 <= 167",
    "6*x0 + 17*x1 <= 274",
    "17*x1 + 14*x2 <= 135",
    "17*x1 + 4*x3 <= 235",
    "6*x0 + 17*x1 + 14*x2 + 4*x3 <= 289",
    "6*x0 + 14*x3 <= 129",
    "4*x1 + 14*x3 <= 156",
    "4*x1 + 3*x2 <= 131",
    "3*x2 + 14*x3 <= 60",
    "4*x1 + 3*x2 + 14*x3 <= 127",
    "6*x0 + 4*x1 + 14*x3 <= 151",
    "6*x0 + 4*x1 + 3*x2 + 14*x3 <= 151",
    "x0 == int",
    "x1 == int",
    "x2 == int",
    "x3 == int"

  ]
}
```

```python
import gurobipy as gp

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

# Create variables
honeypots = m.addVar(vtype=gp.GRB.INTEGER, name="honeypots")
patches_per_day = m.addVar(vtype=gp.GRB.INTEGER, name="patches_per_day")
intrusion_analysts = m.addVar(vtype=gp.GRB.INTEGER, name="intrusion_analysts")
security_engineers = m.addVar(vtype=gp.GRB.INTEGER, name="security_engineers")


# Set objective function
m.setObjective(3 * honeypots + 6 * patches_per_day + 1 * intrusion_analysts + 1 * security_engineers, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(9 * honeypots + 2 * patches_per_day + 9 * intrusion_analysts + 2 * security_engineers <= 231, "c0")
m.addConstr(12 * honeypots + 12 * patches_per_day + 15 * intrusion_analysts + 17 * security_engineers <= 204, "c1")
m.addConstr(6 * honeypots + 17 * patches_per_day + 14 * intrusion_analysts + 4 * security_engineers <= 325, "c2")
m.addConstr(6 * honeypots + 4 * patches_per_day + 3 * intrusion_analysts + 14 * security_engineers <= 159, "c3")
# ... (rest of the constraints from the JSON "constraints" field)

# Constraints added programmatically for brevity
constraints = {
    "computational_load": [
        (9, 9, 2, 44), (9, 2, 9, 44), (9, 2, 2, 44), (9, 9, 2, 53), (9, 2, 9, 53),
        (9, 2, 2, 53), (9, 9, 2, 33), (9, 2, 9, 33), (9, 2, 2, 33), (9, 2, 108),
        (2, 2, 209), (9, 2, 2, 75), (9, 2, 9, 2, 75)
    ],
    "network_integrity_impact": [
        (0, 12, 15, 17, 47), (12, 12, 0, 17, 47), (12, 0, 15, 17, 47),
        (0, 12, 15, 17, 34), (12, 12, 0, 17, 34), (12, 0, 15, 17, 34),
        (0, 12, 15, 17, 49), (12, 12, 0, 17, 49), (12, 0, 15, 17, 49),
        (12, 0, 15, 74), (12, 0, 0, 17, 57), (0, 12, 0, 17, 152), (0, 12, 15, 0, 199),
        (0, 0, 15, 17, 110), (12, 12, 15, 0, 126), (0, 12, 15, 17, 97), (12, 0, 15, 17, 167),
        (12, 12, 15, 17, 167)
    ],
    "network_latency": [
        (0, 17, 0, 4, 65), (6, 0, 0, 4, 52), (0, 17, 14, 4, 58), (6, 17, 14, 0, 58),
        (6, 0, 14, 4, 73), (0, 17, 14, 4, 73), (6, 17, 14, 0, 73), (6, 0, 14, 4, 54),
        (0, 17, 14, 4, 54), (6, 17, 14, 0, 54), (6, 17, 0, 274), (0, 17, 14, 0, 135),
        (0, 17, 0, 4, 235), (6, 17, 14, 4, 289)
    ],
    "dollar_cost": [
        (6, 0, 14, 4, 29), (6, 4, 3, 0, 29), (6, 0, 3, 14, 34), (6, 4, 3, 0, 34),
        (6, 0, 0, 14, 129), (0, 4, 0, 14, 156), (0, 4, 3, 0, 131), (0, 0, 3, 14, 60),
        (0, 4, 3, 14, 127), (6, 4, 0, 14, 151), (6, 4, 3, 14, 151)
    ]
}

for constraint_type, constraint_list in constraints.items():
    for coeffs in constraint_list:
        if constraint_type == "computational_load":
            expr = coeffs[0] * honeypots + coeffs[1] * patches_per_day + coeffs[2] * intrusion_analysts + coeffs[3] * security_engineers
        elif constraint_type == "network_integrity_impact":
            expr = coeffs[0] * honeypots + coeffs[1] * patches_per_day + coeffs[2] * intrusion_analysts + coeffs[3] * security_engineers
        elif constraint_type == "network_latency":
            expr = coeffs[0] * honeypots + coeffs[1] * patches_per_day + coeffs[2] * intrusion_analysts + coeffs[3] * security_engineers
        elif constraint_type == "dollar_cost":
            expr = coeffs[0] * honeypots + coeffs[1] * patches_per_day + coeffs[2] * intrusion_analysts + coeffs[3] * security_engineers
        
        if len(coeffs) == 4:
            m.addConstr(expr >= coeffs[-1], f"{constraint_type}_{coeffs}")
        elif len(coeffs) == 5:
            m.addConstr(expr <= coeffs[-1], f"{constraint_type}_{coeffs}")


# Optimize model
m.optimize()

# Print solution
if m.status == gp.GRB.OPTIMAL:
    print('Obj: %g' % m.objVal)
    for v in m.getVars():
        print('%s %g' % (v.varName, v.x))
else:
    print("Infeasible")

```