## Optimization Problem Formulation

The problem is a mixed-integer linear programming (MILP) problem. We need to maximize the objective function:

`7.63 * network administrators + 7.32 * intrusion analysts + 7.5 * Mbps bandwidth allocated to monitoring + 3.2 * patches per day + 1.63 * SOC operators`

subject to various constraints.

## Gurobi Code

```python
import gurobi

def optimize():
    # Create a new Gurobi model
    model = gurobi.Model()

    # Define variables
    network_administrators = model.addVar(name="network_administrators", vtype=gurobi.GRB.INTEGER)
    intrusion_analysts = model.addVar(name="intrusion_analysts", vtype=gurobi.GRB.INTEGER)
    mbps_bandwidth_allocated_to_monitoring = model.addVar(name="mbps_bandwidth_allocated_to_monitoring", vtype=gurobi.GRB.INTEGER)
    patches_per_day = model.addVar(name="patches_per_day", vtype=gurobi.GRB.INTEGER)
    soc_operators = model.addVar(name="soc_operators", vtype=gurobi.GRB.INTEGER)

    # Objective function
    model.setObjective(7.63 * network_administrators + 7.32 * intrusion_analysts + 7.5 * mbps_bandwidth_allocated_to_monitoring + 3.2 * patches_per_day + 1.63 * soc_operators, gurobi.GRB.MAXIMIZE)

    # Constraints
    model.addConstr(10 * network_administrators + 7 * intrusion_analysts + 9 * mbps_bandwidth_allocated_to_monitoring + 9 * patches_per_day + 11 * soc_operators <= 104, name="network_integrity_impact")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring + 10 * patches_per_day + 2 * soc_operators <= 114, name="power_consumption")

    model.addConstr(7 * intrusion_analysts + 11 * soc_operators >= 14, name="intrusion_analysts_soc_operators_impact")
    model.addConstr(8 * intrusion_analysts + 10 * patches_per_day >= 11, name="intrusion_analysts_patches_per_day_power")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts >= 16, name="network_administrators_intrusion_analysts_power")
    model.addConstr(8 * intrusion_analysts + 2 * soc_operators >= 9, name="intrusion_analysts_soc_operators_power")
    model.addConstr(11 * mbps_bandwidth_allocated_to_monitoring + 10 * patches_per_day >= 20, name="mbps_bandwidth_allocated_to_monitoring_patches_per_day_power")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring >= 20, name="network_administrators_intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_power")
    model.addConstr(8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring + 2 * soc_operators >= 20, name="intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_soc_operators_power")

    model.addConstr(-9 * network_administrators + 9 * intrusion_analysts + 10 * patches_per_day >= 0, name="network_administrators_intrusion_analysts_patches_per_day_impact")

    model.addConstr(9 * mbps_bandwidth_allocated_to_monitoring + 9 * patches_per_day <= 85, name="mbps_bandwidth_allocated_to_monitoring_patches_per_day_impact")
    model.addConstr(10 * network_administrators + 9 * patches_per_day <= 92, name="network_administrators_patches_per_day_impact")
    model.addConstr(7 * intrusion_analysts + 9 * mbps_bandwidth_allocated_to_monitoring + 9 * patches_per_day <= 36, name="intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_patches_per_day_impact")
    model.addConstr(10 * network_administrators + 7 * intrusion_analysts + 9 * patches_per_day <= 54, name="network_administrators_intrusion_analysts_patches_per_day_impact")
    model.addConstr(10 * network_administrators + 7 * intrusion_analysts + 9 * mbps_bandwidth_allocated_to_monitoring + 9 * patches_per_day + 11 * soc_operators <= 54, name="all_variables_impact")

    model.addConstr(8 * intrusion_analysts + 10 * patches_per_day <= 69, name="intrusion_analysts_patches_per_day_power")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts <= 70, name="network_administrators_intrusion_analysts_power")
    model.addConstr(2 * network_administrators + 2 * soc_operators <= 81, name="network_administrators_soc_operators_power")
    model.addConstr(8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring <= 39, name="intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_power")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring <= 44, name="network_administrators_intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_power")
    model.addConstr(11 * mbps_bandwidth_allocated_to_monitoring + 10 * patches_per_day + 2 * soc_operators <= 27, name="mbps_bandwidth_allocated_to_monitoring_patches_per_day_soc_operators_power")
    model.addConstr(2 * network_administrators + 10 * patches_per_day + 2 * soc_operators <= 108, name="network_administrators_patches_per_day_soc_operators_power")
    model.addConstr(2 * network_administrators + 11 * mbps_bandwidth_allocated_to_monitoring + 2 * soc_operators <= 56, name="network_administrators_mbps_bandwidth_allocated_to_monitoring_soc_operators_power")
    model.addConstr(8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring + 10 * patches_per_day <= 70, name="intrusion_analysts_mbps_bandwidth_allocated_to_monitoring_patches_per_day_power")
    model.addConstr(2 * network_administrators + 8 * intrusion_analysts + 11 * mbps_bandwidth_allocated_to_monitoring + 10 * patches_per_day + 2 * soc_operators <= 105, name="all_variables_power")

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objval)
        print("Network Administrators: ", network_administrators.varValue)
        print("Intrusion Analysts: ", intrusion_analysts.varValue)
        print("Mbps Bandwidth Allocated to Monitoring: ", mbps_bandwidth_allocated_to_monitoring.varValue)
        print("Patches per Day: ", patches_per_day.varValue)
        print("SOC Operators: ", soc_operators.varValue)
    else:
        print("The model is infeasible")

optimize()
```