```json
{
  "sym_variables": [
    ("x0", "CBRN platoons"),
    ("x1", "pathfinder teams"),
    ("x2", "reconnaissance troops"),
    ("x3", "air defense batteries")
  ],
  "objective_function": "5.76 * x0 + 6.85 * x1 + 3.94 * x2 + 1.01 * x3",
  "constraints": [
    "18 * x1 + 10 * x3 >= 37",
    "1 * x2 + 10 * x3 >= 36",
    "18 * x0 + 8 * x1 + 1 * x2 + 10 * x3 >= 36",
    "11 * x1 + 8 * x2 >= 20",
    "11 * x1 + 1 * x3 >= 22",
    "7 * x0 + 8 * x2 >= 29",
    "7 * x0 + 11 * x1 + 8 * x2 >= 32",
    "7 * x0 + 8 * x2 + 1 * x3 >= 32",
    "7 * x0 + 11 * x1 + 8 * x2 >= 43",
    "7 * x0 + 8 * x2 + 1 * x3 >= 43",
    "7 * x0 + 11 * x1 + 8 * x2 + 1 * x3 >= 43",
    "13 * x0 + 19 * x3 >= 28",
    "13 * x0 + 4 * x2 + 19 * x3 >= 24",
    "13 * x0 + 2 * x1 + 4 * x2 + 19 * x3 >= 24",
    "-1 * x0 + 8 * x1 >= 0",
    "18 * x0 + 8 * x1 <= 160",
    "1 * x2 + 10 * x3 <= 151",
    "8 * x1 + 1 * x2 <= 176",
    "18 * x0 + 1 * x2 + 10 * x3 <= 178",
    "8 * x1 + 1 * x2 + 10 * x3 <= 127",
    "18 * x0 + 8 * x1 + 10 * x3 <= 79",
    "7 * x0 + 11 * x1 + 1 * x3 <= 165",
    "7 * x0 + 8 * x2 + 1 * x3 <= 63",
    "2 * x1 + 19 * x3 <= 140",
    "13 * x0 + 4 * x2 <= 153",
    "4 * x2 + 19 * x3 <= 117",
    "2 * x1 + 4 * x2 <= 120",
    "x0, x1, x2, x3 are integers",
    "18 * x0 <= 196",
    "7 * x0 <= 184",
    "13 * x0 <= 175"

  ]
}
```

```python
import gurobipy as gp

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

# Create variables
cbrn_platoons = m.addVar(vtype=gp.GRB.INTEGER, name="cbrn_platoons")
pathfinder_teams = m.addVar(vtype=gp.GRB.INTEGER, name="pathfinder_teams")
reconnaissance_troops = m.addVar(vtype=gp.GRB.INTEGER, name="reconnaissance_troops")
air_defense_batteries = m.addVar(vtype=gp.GRB.INTEGER, name="air_defense_batteries")

# Set objective function
m.setObjective(5.76 * cbrn_platoons + 6.85 * pathfinder_teams + 3.94 * reconnaissance_troops + 1.01 * air_defense_batteries, gp.GRB.MINIMIZE)

# Add constraints
m.addConstr(18 * pathfinder_teams + 10 * air_defense_batteries >= 37)
m.addConstr(1 * reconnaissance_troops + 10 * air_defense_batteries >= 36)
m.addConstr(18 * cbrn_platoons + 8 * pathfinder_teams + 1 * reconnaissance_troops + 10 * air_defense_batteries >= 36)
m.addConstr(11 * pathfinder_teams + 8 * reconnaissance_troops >= 20)
m.addConstr(11 * pathfinder_teams + 1 * air_defense_batteries >= 22)
m.addConstr(7 * cbrn_platoons + 8 * reconnaissance_troops >= 29)
m.addConstr(7 * cbrn_platoons + 11 * pathfinder_teams + 8 * reconnaissance_troops >= 32)
m.addConstr(7 * cbrn_platoons + 8 * reconnaissance_troops + 1 * air_defense_batteries >= 32)
m.addConstr(7 * cbrn_platoons + 11 * pathfinder_teams + 8 * reconnaissance_troops >= 43)
m.addConstr(7 * cbrn_platoons + 8 * reconnaissance_troops + 1 * air_defense_batteries >= 43)
m.addConstr(7 * cbrn_platoons + 11 * pathfinder_teams + 8 * reconnaissance_troops + 1 * air_defense_batteries >= 43)
m.addConstr(13 * cbrn_platoons + 19 * air_defense_batteries >= 28)
m.addConstr(13 * cbrn_platoons + 4 * reconnaissance_troops + 19 * air_defense_batteries >= 24)
m.addConstr(13 * cbrn_platoons + 2 * pathfinder_teams + 4 * reconnaissance_troops + 19 * air_defense_batteries >= 24)
m.addConstr(-1 * cbrn_platoons + 8 * pathfinder_teams >= 0)
m.addConstr(18 * cbrn_platoons + 8 * pathfinder_teams <= 160)
m.addConstr(1 * reconnaissance_troops + 10 * air_defense_batteries <= 151)
m.addConstr(8 * pathfinder_teams + 1 * reconnaissance_troops <= 176)
m.addConstr(18 * cbrn_platoons + 1 * reconnaissance_troops + 10 * air_defense_batteries <= 178)
m.addConstr(8 * pathfinder_teams + 1 * reconnaissance_troops + 10 * air_defense_batteries <= 127)
m.addConstr(18 * cbrn_platoons + 8 * pathfinder_teams + 10 * air_defense_batteries <= 79)
m.addConstr(7 * cbrn_platoons + 11 * pathfinder_teams + 1 * air_defense_batteries <= 165)
m.addConstr(7 * cbrn_platoons + 8 * reconnaissance_troops + 1 * air_defense_batteries <= 63)
m.addConstr(2 * pathfinder_teams + 19 * air_defense_batteries <= 140)
m.addConstr(13 * cbrn_platoons + 4 * reconnaissance_troops <= 153)
m.addConstr(4 * reconnaissance_troops + 19 * air_defense_batteries <= 117)
m.addConstr(2 * pathfinder_teams + 4 * reconnaissance_troops <= 120)


# Resource Constraints
m.addConstr(18 * cbrn_platoons <= 196)
m.addConstr(7 * cbrn_platoons <= 184)
m.addConstr(13 * cbrn_platoons <= 175)



# Optimize model
m.optimize()

# Print results
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("The model is infeasible.")
else:
    print("Optimization ended with status %d" % m.status)

```
