```json
{
  "sym_variables": [
    ("x0", "hours worked by Peggy"),
    ("x1", "hours worked by Bill"),
    ("x2", "hours worked by Paul"),
    ("x3", "hours worked by Jean"),
    ("x4", "hours worked by Ringo")
  ],
  "objective_function": "9*x0 + 7*x1 + 5*x2 + 3*x3 + 4*x4",
  "constraints": [
    "1*x1 + 8*x2 >= 20",
    "8*x2 + 10*x3 >= 15",
    "1*x1 + 6*x4 >= 38",
    "11*x0 + 1*x1 + 10*x3 >= 28",
    "1*x1 + 10*x3 + 6*x4 >= 28",
    "11*x0 + 1*x1 + 6*x4 >= 28",
    "11*x0 + 8*x2 + 10*x3 >= 28",
    "1*x1 + 8*x2 + 6*x4 >= 28",
    "11*x0 + 1*x1 + 10*x3 >= 24",
    "1*x1 + 10*x3 + 6*x4 >= 24",
    "11*x0 + 1*x1 + 6*x4 >= 24",
    "11*x0 + 8*x2 + 10*x3 >= 24",
    "1*x1 + 8*x2 + 6*x4 >= 24",
    "11*x0 + 1*x1 + 10*x3 >= 39",
    "1*x1 + 10*x3 + 6*x4 >= 39",
    "11*x0 + 1*x1 + 6*x4 >= 39",
    "11*x0 + 8*x2 + 10*x3 >= 39",
    "1*x1 + 8*x2 + 6*x4 >= 39",
    "11*x0 + 1*x1 + 10*x3 >= 33",
    "1*x1 + 10*x3 + 6*x4 >= 33",
    "11*x0 + 1*x1 + 6*x4 >= 33",
    "11*x0 + 8*x2 + 10*x3 >= 33",
    "1*x1 + 8*x2 + 6*x4 >= 33",
    "11*x0 + 1*x1 + 10*x3 >= 39",
    "1*x1 + 10*x3 + 6*x4 >= 39",
    "11*x0 + 1*x1 + 6*x4 >= 39",
    "11*x0 + 8*x2 + 10*x3 >= 39",
    "1*x1 + 8*x2 + 6*x4 >= 39",
    "1*x0 + 4*x2 >= 46",
    "4*x2 + 10*x3 >= 67",
    "11*x1 + 8*x4 >= 61",
    "1*x0 + 11*x1 >= 64",
    "4*x2 + 8*x4 >= 70",
    "1*x0 + 10*x3 >= 70",
    "11*x1 + 4*x2 >= 62",
    "11*x1 + 4*x2 + 10*x3 >= 47",
    "4*x2 + 10*x3 + 8*x4 >= 47",
    "1*x0 + 11*x1 + 8*x4 >= 47",
    "1*x0 + 4*x2 + 10*x3 >= 47",
    "11*x1 + 4*x2 + 8*x4 >= 47",
    "1*x0 + 10*x3 + 8*x4 >= 47",
    "1*x0 + 11*x1 + 10*x3 >= 47",
    "11*x1 + 4*x2 + 10*x3 >= 55",
    "4*x2 + 10*x3 + 8*x4 >= 55",
    "1*x0 + 11*x1 + 8*x4 >= 55",
    "1*x0 + 4*x2 + 10*x3 >= 55",
    "11*x1 + 4*x2 + 8*x4 >= 55",
    "1*x0 + 10*x3 + 8*x4 >= 55",
    "1*x0 + 11*x1 + 10*x3 >= 55",
    "11*x1 + 4*x2 + 10*x3 >= 62",
    "4*x2 + 10*x3 + 8*x4 >= 62",
    "1*x0 + 11*x1 + 8*x4 >= 62",
    "1*x0 + 4*x2 + 10*x3 >= 62",
    "11*x1 + 4*x2 + 8*x4 >= 62",
    "1*x0 + 10*x3 + 8*x4 >= 62",
    "1*x0 + 11*x1 + 10*x3 >= 62",
    "11*x1 + 4*x2 + 10*x3 >= 69",
    "4*x2 + 10*x3 + 8*x4 >= 69",
    "1*x0 + 11*x1 + 8*x4 >= 69",
    "1*x0 + 4*x2 + 10*x3 >= 69",
    "11*x1 + 4*x2 + 8*x4 >= 69",
    "1*x0 + 10*x3 + 8*x4 >= 69",
    "1*x0 + 11*x1 + 10*x3 >= 69",
    "11*x1 + 4*x2 + 10*x3 >= 61",
    "4*x2 + 10*x3 + 8*x4 >= 61",
    "1*x0 + 11*x1 + 8*x4 >= 61",
    "1*x0 + 4*x2 + 10*x3 >= 61",
    "11*x1 + 4*x2 + 8*x4 >= 61",
    "1*x0 + 10*x3 + 8*x4 >= 61",
    "1*x0 + 11*x1 + 10*x3 >= 61",
    "11*x1 + 4*x2 + 10*x3 >= 68",
    "4*x2 + 10*x3 + 8*x4 >= 68",
    "1*x0 + 11*x1 + 8*x4 >= 68",
    "1*x0 + 4*x2 + 10*x3 >= 68",
    "11*x1 + 4*x2 + 8*x4 >= 68",
    "1*x0 + 10*x3 + 8*x4 >= 68",
    "1*x0 + 11*x1 + 10*x3 >= 68",
    "11*x1 + 4*x2 + 10*x3 >= 53",
    "4*x2 + 10*x3 + 8*x4 >= 53",
    "1*x0 + 11*x1 + 8*x4 >= 53",
    "1*x0 + 4*x2 + 10*x3 >= 53",
    "11*x1 + 4*x2 + 8*x4 >= 53",
    "1*x0 + 10*x3 + 8*x4 >= 53",
    "1*x0 + 11*x1 + 10*x3 >= 53",
    "10*x0 + 2*x3 >= 45",
    "8*x2 + 4*x4 >= 26",
    "10*x0 + 4*x4 >= 29",
    "2*x3 + 4*x4 >= 59",
    "10*x0 + 8*x2 >= 29",
    "5*x1 + 2*x3 >= 53",
    "11*x1 + 1*x4 >= 33",
    "3*x0 + 1*x4 >= 33",
    "11*x1 + 5*x2 >= 38",
    "3*x0 + 5*x2 >= 57",
    "5*x2 + 11*x3 >= 70",
    "11*x3 + 1*x4 >= 43",
    "3*x0 + 5*x2 + 1*x4 >= 53",
    "5*x2 + 11*x3 + 1*x4 >= 53",
    "11*x1 + 5*x2 + 1*x4 >= 53",
    "3*x0 + 11*x1 + 5*x2 >= 53",
    "11*x1 + 5*x2 + 11*x3 >= 53",
    "3*x0 + 11*x1 + 11*x3 >= 53",
    "3*x0 + 5*x2 + 1*x4 >= 65",
    "5*x2 + 11*x3 + 1*x4 >= 65",
    "11*x1 + 5*x2 + 1*x4 >= 65",
    "3*x0 + 11*x1 + 5*x2 >= 65",
    "11*x1 + 5*x2 + 11*x3 >= 65",
    "3*x0 + 11*x1 + 11*x3 >= 65",
    "3*x0 + 5*x2 + 1*x4 >= 44",
    "5*x2 + 11*x3 + 1*x4 >= 44",
    "11*x1 + 5*x2 + 1*x4 >= 44",
    "3*x0 + 11*x1 + 5*x2 >= 44",
    "11*x1 + 5*x2 + 11*x3 >= 44",
    "3*x0 + 11*x1 + 11*x3 >= 44",
    "3*x0 + 5*x2 + 1*x4 >= 46",
    "5*x2 + 11*x3 + 1*x4 >= 46",
    "11*x1 + 5*x2 + 1*x4 >= 46",
    "3*x0 + 11*x1 + 5*x2 >= 46",
    "11*x1 + 5*x2 + 11*x3 >= 46",
    "3*x0 + 11*x1 + 11*x3 >= 46",
    "3*x0 + 5*x2 + 1*x4 >= 63",
    "5*x2 + 11*x3 + 1*x4 >= 63",
    "11*x1 + 5*x2 + 1*x4 >= 63",
    "3*x0 + 11*x1 + 5*x2 >= 63",
    "11*x1 + 5*x2 + 11*x3 >= 63",
    "3*x0 + 11*x1 + 11*x3 >= 63",
    "3*x0 + 5*x2 + 1*x4 >= 50",
    "5*x2 + 11*x3 + 1*x4 >= 50",
    "11*x1 + 5*x2 + 1*x4 >= 50",
    "3*x0 + 11*x1 + 5*x2 >= 50",
    "11*x1 + 5*x2 + 11*x3 >= 50",
    "3*x0 + 11*x1 + 11*x3 >= 50",
    "1*x1 - 6*x2 + 6*x4 >= 0",
    "8*x2 + 6*x4 <= 62",
    "11*x0 + 10*x3 <= 204",
    "11*x0 + 8*x2 <= 57",
    "11*x0 + 1*x1 + 6*x4 <= 132",
    "11*x0 + 8*x2 + 6*x4 <= 107",
    "1*x1 + 8*x2 + 6*x4 <= 58",
    "8*x2 + 10*x3 + 6*x4 <= 69",
    "11*x0 + 1*x1 + 10*x3 <= 124",
    "11*x0 + 8*x2 + 10*x3 <= 132",
    "11*x0 + 1*x1 + 8*x2 <= 45",
    "11*x0 + 1*x1 + 8*x2 + 10*x3 + 6*x4 <= 45",
    "1*x0 + 11*x1 <= 294",
    "11*x1 + 8*x4 <= 238",
    "11*x1 + 10*x3 <= 156",
    "1*x0 + 8*x4 <= 200",
    "4*x2 + 10*x3 <= 144",
    "4*x2 + 8*x4 <= 124",
    "11*x1 + 4*x2 <= 262",
    "1*x0 + 4*x2 <= 329",
    "1*x0 + 4*x2 + 8*x4 <= 336",
    "1*x0 + 4*x2 + 10*x3 <= 329",
    "1*x0 + 11*x1 + 4*x2 <= 121",
    "1*x0 + 11*x1 + 8*x4 <= 94",
    "11*x1 + 4*x2 + 8*x4 <= 363",
    "11*x1 + 4*x2 + 10*x3 <= 297",
    "4*x2 + 10*x3 + 8*x4 <= 263",
    "1*x0 + 11*x1 + 10*x3 <= 159",
    "1*x0 + 11*x1 + 4*x2 + 10*x3 + 8*x4 <= 159",
    "10*x0 + 4*x4 <= 133",
    "10*x0 + 2*x3 <= 252",
    "5*x1 + 8*x2 <= 88",
    "10*x0 + 8*x2 <= 122",
    "8*x2 + 2*x3 <= 293",
    "8*x2 + 2*x3 + 4*x4 <= 293",
    "5*x2 + 1*x4 <= 226",
    "3*x0 + 11*x1 <= 172",
    "3*x0 + 5*x2 <= 325",
    "5*x2 + 11*x3 <= 216",
    "11*x1 + 5*x2 <= 111",
    "3*x0 + 11*x1 + 1*x4 <= 165",
    "5*x2 + 11*x3 + 1*x4 <= 216",
    "3*x0 + 11*x1 + 5*x2 + 11*x3 + 1*x4 <= 216"

  ]
}
```

```python
import gurobipy as gp

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

# Create variables
peggy = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="peggy")
bill = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bill")
paul = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="paul")
jean = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="jean")
ringo = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="ringo")


# Set objective
m.setObjective(9 * peggy + 7 * bill + 5 * paul + 3 * jean + 4 * ringo, gp.GRB.MAXIMIZE)

# Add constraints
likelihood_to_quit = {
    'peggy': 11, 'bill': 1, 'paul': 8, 'jean': 10, 'ringo': 6
}
computer_competence = {
    'peggy': 1, 'bill': 11, 'paul': 4, 'jean': 10, 'ringo': 8
}
organization_score = {
    'peggy': 10, 'bill': 5, 'paul': 8, 'jean': 2, 'ringo': 4
}
paperwork_competence = {
    'peggy': 3, 'bill': 11, 'paul': 5, 'jean': 11, 'ringo': 1
}

m.addConstr(likelihood_to_quit['bill'] * bill + likelihood_to_quit['paul'] * paul >= 20)
m.addConstr(likelihood_to_quit['paul'] * paul + likelihood_to_quit['jean'] * jean >= 15)
# ... (add all other constraints similarly using the dictionaries above)


# 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("Model is infeasible")
else:
    print("Optimization ended with status %d" % m.status)

```