```json
{
  "sym_variables": [
    ("x0", "hours worked by Bill"),
    ("x1", "hours worked by Mary"),
    ("x2", "hours worked by Dale"),
    ("x3", "hours worked by Bobby")
  ],
  "objective_function": "7*x0 + 2*x1 + 7*x2 + 1*x3",
  "constraints": [
    "8*x0 + 11*x3 >= 26",
    "10*x1 + 11*x3 >= 26",
    "5*x2 + 11*x3 >= 24",
    "10*x1 + 5*x2 >= 20",
    "10*x1 + 5*x2 + 11*x3 >= 18",
    "8*x0 + 10*x1 + 11*x3 >= 18",
    "10*x1 + 5*x2 + 11*x3 >= 20",
    "8*x0 + 10*x1 + 11*x3 >= 20",
    "11*x2 + 8*x3 >= 27",
    "10*x0 + 8*x3 >= 31",
    "10*x0 + 11*x2 >= 22",
    "11*x1 + 8*x3 >= 33",
    "11*x1 + 11*x2 >= 29",
    "10*x0 + 11*x2 + 8*x3 >= 35",
    "6*x0 + 2*x3 >= 14",
    "5*x1 + 2*x3 >= 12",
    "5*x1 + 4*x2 >= 16",
    "4*x2 + 2*x3 >= 10",
    "10*x1 + 11*x3 <= 59",
    "8*x0 + 11*x3 <= 85",
    "8*x0 + 5*x2 + 11*x3 <= 84",
    "8*x0 + 10*x1 + 5*x2 + 11*x3 <= 84",
    "10*x0 + 8*x3 <= 35",
    "11*x1 + 11*x2 <= 90",
    "10*x0 + 11*x2 <= 105",
    "11*x2 + 8*x3 <= 70",
    "11*x1 + 8*x3 <= 48",
    "10*x0 + 11*x1 + 11*x2 + 8*x3 <= 48",
    "6*x0 + 2*x3 <= 100",
    "4*x2 + 2*x3 <= 65",
    "6*x0 + 5*x1 <= 56",
    "6*x0 + 5*x1 + 4*x2 + 2*x3 <= 56"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
bill = model.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="Bill")
mary = model.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="Mary")
dale = model.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="Dale")
bobby = model.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="Bobby")


# Set objective function
model.setObjective(7 * bill + 2 * mary + 7 * dale + 1 * bobby, gp.GRB.MAXIMIZE)

# Add constraints
model.addConstr(8 * bill + 11 * bobby >= 26)
model.addConstr(10 * mary + 11 * bobby >= 26)
model.addConstr(5 * dale + 11 * bobby >= 24)
model.addConstr(10 * mary + 5 * dale >= 20)
model.addConstr(10 * mary + 5 * dale + 11 * bobby >= 18)
model.addConstr(8 * bill + 10 * mary + 11 * bobby >= 18)
model.addConstr(10 * mary + 5 * dale + 11 * bobby >= 20)
model.addConstr(8 * bill + 10 * mary + 11 * bobby >= 20)
model.addConstr(11 * dale + 8 * bobby >= 27)
model.addConstr(10 * bill + 8 * bobby >= 31)
model.addConstr(10 * bill + 11 * dale >= 22)
model.addConstr(11 * mary + 8 * bobby >= 33)
model.addConstr(11 * mary + 11 * dale >= 29)
model.addConstr(10 * bill + 11 * dale + 8 * bobby >= 35)
model.addConstr(6 * bill + 2 * bobby >= 14)
model.addConstr(5 * mary + 2 * bobby >= 12)
model.addConstr(5 * mary + 4 * dale >= 16)
model.addConstr(4 * dale + 2 * bobby >= 10)
model.addConstr(10 * mary + 11 * bobby <= 59)
model.addConstr(8 * bill + 11 * bobby <= 85)
model.addConstr(8 * bill + 5 * dale + 11 * bobby <= 84)
model.addConstr(8 * bill + 10 * mary + 5 * dale + 11 * bobby <= 84)
model.addConstr(10 * bill + 8 * bobby <= 35)
model.addConstr(11 * mary + 11 * dale <= 90)
model.addConstr(10 * bill + 11 * dale <= 105)
model.addConstr(11 * dale + 8 * bobby <= 70)
model.addConstr(11 * mary + 8 * bobby <= 48)
model.addConstr(10 * bill + 11 * mary + 11 * dale + 8 * bobby <= 48)
model.addConstr(6 * bill + 2 * bobby <= 100)
model.addConstr(4 * dale + 2 * bobby <= 65)
model.addConstr(6 * bill + 5 * mary <= 56)
model.addConstr(6 * bill + 5 * mary + 4 * dale + 2 * bobby <= 56)



# Optimize model
model.optimize()

# Print results
if model.status == gp.GRB.OPTIMAL:
    print('Obj: %g' % model.objVal)
    for v in model.getVars():
        print('%s %g' % (v.varName, v.x))
elif model.status == gp.GRB.INFEASIBLE:
    print("The model is infeasible.")
else:
    print(f"Optimization ended with status {model.status}")

```
