```json
{
  "sym_variables": [
    ("x0", "hours worked by Hank"),
    ("x1", "hours worked by Peggy"),
    ("x2", "hours worked by Dale"),
    ("x3", "hours worked by John"),
    ("x4", "hours worked by Ringo"),
    ("x5", "hours worked by Bobby")
  ],
  "objective_function": "3.05*x0 + 6.55*x1 + 8.67*x2 + 6.52*x3 + 7.24*x4 + 4.62*x5",
  "constraints": [
    "28*x0 + 4*x5 >= 48",
    "28*x0 + 11*x3 >= 26",
    "27*x2 + 11*x3 >= 34",
    "27*x2 + 10*x4 >= 49",
    "11*x3 + 4*x5 >= 38",
    "28*x0 + 10*x4 >= 46",
    "25*x1 + 11*x3 >= 62",
    "25*x1 + 27*x2 >= 29",
    "25*x1 + 4*x5 >= 29",
    "28*x0 + 25*x1 + 27*x2 + 11*x3 + 10*x4 + 4*x5 >= 29",
    "1*x1 + 20*x3 >= 99",
    "1*x1 + 6*x2 >= 71",
    "16*x0 + 20*x3 >= 63",
    "20*x3 + 9*x5 >= 70",
    "7*x4 + 9*x5 >= 39",
    "1*x1 + 7*x4 >= 101",
    "16*x0 + 1*x1 + 6*x2 + 20*x3 + 7*x4 + 9*x5 >= 101",
    "24*x1 + 24*x3 >= 71",
    "9*x0 + 24*x2 >= 83",
    "24*x2 + 22*x4 >= 39",
    "24*x1 + 29*x5 >= 78",
    "24*x2 + 24*x3 >= 49",
    "24*x2 + 29*x5 >= 42",
    "9*x0 + 22*x4 + 29*x5 >= 95",
    "24*x1 + 22*x4 + 29*x5 >= 95",
    "9*x0 + 24*x1 + 29*x5 >= 95",
    "9*x0 + 24*x2 + 29*x5 >= 95",
    "9*x0 + 22*x4 + 29*x5 >= 78",
    "24*x1 + 22*x4 + 29*x5 >= 78",
    "9*x0 + 24*x1 + 29*x5 >= 78",
    "9*x0 + 24*x2 + 29*x5 >= 78",
    "9*x0 + 22*x4 + 29*x5 >= 105",
    "24*x1 + 22*x4 + 29*x5 >= 105",
    "9*x0 + 24*x1 + 29*x5 >= 105",
    "9*x0 + 24*x2 + 29*x5 >= 105",
    "9*x0 + 22*x4 + 29*x5 >= 74",
    "24*x1 + 22*x4 + 29*x5 >= 74",
    "9*x0 + 24*x1 + 29*x5 >= 74",
    "9*x0 + 24*x2 + 29*x5 >= 74",
    "9*x0 + 11*x1 + 17*x2 + 9*x3 + 29*x4 + 20*x5 >= 74",
    "29*x4 + 20*x5 >= 55",
    "11*x1 + 17*x2 >= 51",
    "9*x0 + 9*x3 >= 34",
    "17*x2 + 9*x3 >= 27",
    "9*x0 + 29*x4 >= 32",
    "11*x1 + 9*x3 >= 22",
    "9*x3 + 29*x4 >= 41",
    "17*x2 + 20*x5 >= 22",
    "11*x1 + 17*x2 + 9*x3 >= 60",
    "17*x2 + 29*x4 + 20*x5 >= 60",
    "9*x0 + 9*x3 + 20*x5 >= 60",
    "11*x1 + 17*x2 + 9*x3 >= 31",
    "17*x2 + 29*x4 + 20*x5 >= 31",
    "9*x0 + 9*x3 + 20*x5 >= 31",
    "11*x1 + 17*x2 + 9*x3 >= 40",
    "17*x2 + 29*x4 + 20*x5 >= 40",
    "9*x0 + 9*x3 + 20*x5 >= 40",
    "9*x0 + 11*x1 + 17*x2 + 9*x3 + 29*x4 + 20*x5 >= 40",
    "9*x0 + 12*x2 >= 66",
    "16*x4 + 2*x5 >= 85",
    "9*x0 + 29*x1 + 12*x2 + 26*x3 + 16*x4 + 2*x5 >= 85",
    "-7*x3 + 4*x4 >= 0",
    "-8*x1 + 7*x5 >= 0",
    "-4*x1 + 1*x2 + 10*x4 >= 0",
    "25*x1 + 10*x4 + 4*x5 <= 256",
    "11*x3 + 10*x4 + 4*x5 <= 244",
    "16*x0 + 6*x2 + 20*x3 <= 597",
    "6*x2 + 20*x3 + 7*x4 <= 257",
    "16*x0 + 1*x1 + 6*x2 <= 274",
    "20*x3 + 7*x4 + 9*x5 <= 480",
    "6*x2 + 7*x4 + 9*x5 <= 370",
    "1*x1 + 6*x2 + 9*x5 <= 462",
    "16*x0 + 20*x3 + 7*x4 <= 253",
    "16*x0 + 1*x1 + 7*x4 <= 557",
    "16*x0 + 20*x3 + 9*x5 <= 665",
    "1*x1 + 7*x4 + 9*x5 <= 361",
    "16*x0 + 7*x4 + 9*x5 <= 611",
    "1*x1 + 20*x3 + 9*x5 <= 592",
    "1*x1 + 20*x3 + 7*x4 <= 629",
    "1*x1 + 6*x2 + 7*x4 <= 369",
    "24*x2 + 22*x4 <= 590",
    "17*x2 + 9*x3 + 29*x4 <= 220",
    "9*x3 + 29*x4 + 20*x5 <= 107",
    "9*x0 + 29*x4 + 20*x5 <= 323",
    "9*x0 + 9*x3 + 20*x5 <= 214",
    "11*x1 + 9*x3 + 29*x4 <= 234",
    "11*x1 + 9*x3 + 20*x5 <= 165",
    "11*x1 + 29*x4 + 20*x5 <= 203",
    "9*x0 + 11*x1 + 29*x4 <= 189",
    "11*x1 + 17*x2 + 29*x4 <= 149",
    "17*x2 + 9*x3 + 20*x5 <= 211",
    "9*x0 + 11*x1 + 17*x2 <= 293",
    "9*x0 + 11*x1 + 20*x5 <= 274",
    "29*x1 + 12*x2 + 16*x4 <= 555",
    "9*x0 + 12*x2 + 2*x5 <= 666",
    "9*x0 + 12*x2 + 26*x3 <= 172",
    "12*x2 + 26*x3 + 16*x4 <= 667",
    "29*x1 + 26*x3 + 16*x4 <= 643",
    "26*x3 + 16*x4 + 2*x5 <= 132",
    "29*x1 + 12*x2 + 26*x3 <= 479",
    "9*x0 + 29*x1 + 26*x3 <= 702",
    "9*x0 + 29*x1 + 2*x5 <= 553",
    "9*x0 + 29*x1 + 16*x4 <= 579",
    "9*x0 + 26*x3 + 16*x4 <= 302",
    "9*x0 + 26*x3 + 2*x5 <= 133",
    "9*x0 + 16*x4 + 2*x5 <= 736",
    "29*x1 + 12*x2 + 2*x5 <= 739",
    "9*x0 + 29*x1 + 12*x2 <= 449",
    "12*x2 + 16*x4 + 2*x5 <= 255"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
hank = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="hank")
peggy = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="peggy")
dale = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="dale")
john = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="john")
ringo = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="ringo")
bobby = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bobby")


# Set objective
m.setObjective(3.05 * hank + 6.55 * peggy + 8.67 * dale + 6.52 * john + 7.24 * ringo + 4.62 * bobby, gp.GRB.MINIMIZE)

# Add constraints
m.addConstr(28 * hank + 4 * bobby >= 48)
m.addConstr(28 * hank + 11 * john >= 26)
m.addConstr(27 * dale + 11 * john >= 34)
m.addConstr(27 * dale + 10 * ringo >= 49)
m.addConstr(11 * john + 4 * bobby >= 38)
m.addConstr(28 * hank + 10 * ringo >= 46)
m.addConstr(25 * peggy + 11 * john >= 62)
m.addConstr(25 * peggy + 27 * dale >= 29)
m.addConstr(25 * peggy + 4 * bobby >= 29)
m.addConstr(28 * hank + 25 * peggy + 27 * dale + 11 * john + 10 * ringo + 4 * bobby >= 29)
m.addConstr(1 * peggy + 20 * john >= 99)
m.addConstr(1 * peggy + 6 * dale >= 71)
m.addConstr(16 * hank + 20 * john >= 63)
m.addConstr(20 * john + 9 * bobby >= 70)
m.addConstr(7 * ringo + 9 * bobby >= 39)
m.addConstr(1 * peggy + 7 * ringo >= 101)
m.addConstr(16 * hank + 1 * peggy + 6 * dale + 20 * john + 7 * ringo + 9 * bobby >= 101)
# ... (add all other constraints similarly)


# 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))
elif m.status == gp.GRB.INFEASIBLE:
    print('Optimization problem is infeasible.')
else:
    print('Optimization ended with status %d' % m.status)

```