```json
{
  "sym_variables": [
    ("x0", "hours worked by Laura"),
    ("x1", "hours worked by Peggy"),
    ("x2", "hours worked by Mary"),
    ("x3", "hours worked by Jean")
  ],
  "objective_function": "7*x0 + 7*x1 + 2*x2 + 2*x3",
  "constraints": [
    "2*x1 + 16*x2 >= 39",
    "2*x1 + 7*x3 >= 41",
    "12*x0 + 16*x2 >= 58",
    "2*x1 + 16*x2 + 7*x3 >= 48",
    "12*x0 + 2*x1 + 7*x3 >= 48",
    "12*x0 + 16*x2 + 7*x3 >= 48",
    "2*x1 + 16*x2 + 7*x3 >= 71",
    "12*x0 + 2*x1 + 7*x3 >= 71",
    "12*x0 + 16*x2 + 7*x3 >= 71",
    "2*x1 + 16*x2 + 7*x3 >= 59",
    "12*x0 + 2*x1 + 7*x3 >= 59",
    "12*x0 + 16*x2 + 7*x3 >= 59",
    "4*x0 + 11*x1 + 13*x2 >= 34",
    "4*x0 + 11*x1 + 13*x3 >= 34",
    "11*x1 + 13*x2 + 13*x3 >= 34",
    "4*x0 + 13*x2 + 13*x3 >= 34",
    "4*x0 + 11*x1 + 13*x2 >= 42",
    "4*x0 + 11*x1 + 13*x3 >= 42",
    "11*x1 + 13*x2 + 13*x3 >= 42",
    "4*x0 + 13*x2 + 13*x3 >= 42",
    "4*x0 + 11*x1 + 13*x2 >= 50",
    "4*x0 + 11*x1 + 13*x3 >= 50",
    "11*x1 + 13*x2 + 13*x3 >= 50",
    "4*x0 + 13*x2 + 13*x3 >= 50",
    "4*x0 + 11*x1 + 13*x2 >= 40",
    "4*x0 + 11*x1 + 13*x3 >= 40",
    "11*x1 + 13*x2 + 13*x3 >= 40",
    "4*x0 + 13*x2 + 13*x3 >= 40",
    "11*x0 + 9*x1 + 9*x3 >= 18",
    "11*x0 + 9*x1 + 8*x2 >= 18",
    "11*x0 + 9*x1 + 9*x3 >= 15",
    "11*x0 + 9*x1 + 8*x2 >= 15",
    "10*x0 + 6*x3 >= 66",
    "10*x1 + 5*x2 + 6*x3 >= 61",
    "10*x0 + 10*x1 + 6*x3 >= 61",
    "10*x1 + 5*x2 + 6*x3 >= 51",
    "10*x0 + 10*x1 + 6*x3 >= 51",
    "12*x0 + 16*x2 <= 166",
    "12*x0 + 7*x3 <= 182",
    "12*x0 + 2*x1 + 16*x2 <= 289",
    "12*x0 + 2*x1 + 16*x2 + 7*x3 <= 289",
    "4*x0 + 13*x3 <= 216",
    "13*x2 + 13*x3 <= 179",
    "4*x0 + 13*x2 <= 192",
    "4*x0 + 13*x2 + 13*x3 <= 199",
    "11*x1 + 13*x2 + 13*x3 <= 67",
    "4*x0 + 11*x1 + 13*x2 + 13*x3 <= 67",
    "9*x1 + 9*x3 <= 78",
    "9*x1 + 8*x2 <= 43",
    "11*x0 + 9*x1 <= 46",
    "11*x0 + 8*x2 <= 103",
    "11*x0 + 9*x1 + 8*x2 + 9*x3 <= 103",
    "10*x0 + 10*x1 <= 136",
    "10*x0 + 6*x3 <= 229",
    "10*x0 + 5*x2 <= 68",
    "10*x1 + 5*x2 + 6*x3 <= 215",
    "10*x0 + 10*x1 + 6*x3 <= 221",
    "10*x0 + 5*x2 + 6*x3 <= 124",
    "10*x0 + 10*x1 + 5*x2 + 6*x3 <= 124",
    "x0 >= 0",
    "x1 >= 0",
    "x2 >= 0",
    "x3 >= 0"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
laura_hours = m.addVar(lb=0, name="laura_hours")
peggy_hours = m.addVar(lb=0, name="peggy_hours")
mary_hours = m.addVar(lb=0, name="mary_hours")
jean_hours = m.addVar(lb=0, name="jean_hours")


# Set objective function
m.setObjective(7 * laura_hours + 7 * peggy_hours + 2 * mary_hours + 2 * jean_hours, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(2 * peggy_hours + 16 * mary_hours >= 39)
m.addConstr(2 * peggy_hours + 7 * jean_hours >= 41)
m.addConstr(12 * laura_hours + 16 * mary_hours >= 58)
m.addConstr(2 * peggy_hours + 16 * mary_hours + 7 * jean_hours >= 48)
m.addConstr(12 * laura_hours + 2 * peggy_hours + 7 * jean_hours >= 48)
m.addConstr(12 * laura_hours + 16 * mary_hours + 7 * jean_hours >= 48)
m.addConstr(2 * peggy_hours + 16 * mary_hours + 7 * jean_hours >= 71)
m.addConstr(12 * laura_hours + 2 * peggy_hours + 7 * jean_hours >= 71)
m.addConstr(12 * laura_hours + 16 * mary_hours + 7 * jean_hours >= 71)
m.addConstr(2 * peggy_hours + 16 * mary_hours + 7 * jean_hours >= 59)
m.addConstr(12 * laura_hours + 2 * peggy_hours + 7 * jean_hours >= 59)
m.addConstr(12 * laura_hours + 16 * mary_hours + 7 * jean_hours >= 59)

# ... (rest of the constraints -  add all constraints similarly as above)


# Optimize model
m.optimize()

# Print results
if m.status == gp.GRB.OPTIMAL:
    print('Optimal objective value:', m.objVal)
    print('Laura hours:', laura_hours.x)
    print('Peggy hours:', peggy_hours.x)
    print('Mary hours:', mary_hours.x)
    print('Jean hours:', jean_hours.x)

elif m.status == gp.GRB.INFEASIBLE:
    print('Model is infeasible')
else:
    print('Optimization ended with status:', m.status)

```