```json
{
  "sym_variables": [
    ("x0", "lemons"),
    ("x1", "eggs"),
    ("x2", "bagged salads"),
    ("x3", "tomatoes")
  ],
  "objective_function": "5*x0 + 3*x1 + 4*x2 + 6*x3",
  "constraints": [
    "14*x0 + 13*x3 >= 19",
    "4*x1 + 13*x3 >= 33",
    "11*x0 + 5*x1 + 4*x3 >= 37",
    "2*x0 + 12*x3 >= 24",
    "2*x0 + 8*x1 >= 34",
    "2*x0 + 8*x1 + 15*x2 >= 27",
    "8*x1 + 15*x2 + 12*x3 >= 27",
    "2*x0 + 8*x1 + 12*x3 >= 27",
    "2*x0 + 8*x1 + 15*x2 >= 35",
    "8*x1 + 15*x2 + 12*x3 >= 35",
    "2*x0 + 8*x1 + 12*x3 >= 35",
    "2*x0 + 8*x1 + 15*x2 >= 31",
    "8*x1 + 15*x2 + 12*x3 >= 31",
    "2*x0 + 8*x1 + 12*x3 >= 31",
    "4*x1 + 13*x3 <= 86",
    "14*x0 + 4*x1 + 15*x2 <= 75",
    "14*x0 + 4*x1 + 15*x2 + 13*x3 <= 75",
    "11*x0 + 5*x2 <= 100",
    "5*x1 + 4*x3 <= 85",
    "5*x2 + 4*x3 <= 104",
    "5*x1 + 5*x2 <= 47",
    "11*x0 + 5*x1 + 5*x2 + 4*x3 <= 47",
    "15*x2 + 12*x3 <= 81",
    "2*x0 + 12*x3 <= 102",
    "8*x1 + 15*x2 + 12*x3 <= 142",
    "2*x0 + 8*x1 + 12*x3 <= 147",
    "2*x0 + 8*x1 + 15*x2 + 12*x3 <= 147",
    "14*x0 + 4*x1 + 15*x2 + 13*x3 <= 135",  // Resource constraint r0
    "11*x0 + 5*x1 + 5*x2 + 4*x3 <= 156",  // Resource constraint r1
    "2*x0 + 8*x1 + 15*x2 + 12*x3 <= 156"  // Resource constraint r2
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
lemons = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="lemons")
eggs = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="eggs")
bagged_salads = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bagged_salads")
tomatoes = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="tomatoes")


# Set objective function
m.setObjective(5*lemons + 3*eggs + 4*bagged_salads + 6*tomatoes, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(14*lemons + 13*tomatoes >= 19)
m.addConstr(4*eggs + 13*tomatoes >= 33)
m.addConstr(11*lemons + 5*eggs + 4*tomatoes >= 37)
m.addConstr(2*lemons + 12*tomatoes >= 24)
m.addConstr(2*lemons + 8*eggs >= 34)
m.addConstr(2*lemons + 8*eggs + 15*bagged_salads >= 27)
m.addConstr(8*eggs + 15*bagged_salads + 12*tomatoes >= 27)
m.addConstr(2*lemons + 8*eggs + 12*tomatoes >= 27)
m.addConstr(2*lemons + 8*eggs + 15*bagged_salads >= 35)
m.addConstr(8*eggs + 15*bagged_salads + 12*tomatoes >= 35)
m.addConstr(2*lemons + 8*eggs + 12*tomatoes >= 35)
m.addConstr(2*lemons + 8*eggs + 15*bagged_salads >= 31)
m.addConstr(8*eggs + 15*bagged_salads + 12*tomatoes >= 31)
m.addConstr(2*lemons + 8*eggs + 12*tomatoes >= 31)
m.addConstr(4*eggs + 13*tomatoes <= 86)
m.addConstr(14*lemons + 4*eggs + 15*bagged_salads <= 75)
m.addConstr(14*lemons + 4*eggs + 15*bagged_salads + 13*tomatoes <= 75)
m.addConstr(11*lemons + 5*bagged_salads <= 100)
m.addConstr(5*eggs + 4*tomatoes <= 85)
m.addConstr(5*bagged_salads + 4*tomatoes <= 104)
m.addConstr(5*eggs + 5*bagged_salads <= 47)
m.addConstr(11*lemons + 5*eggs + 5*bagged_salads + 4*tomatoes <= 47)
m.addConstr(15*bagged_salads + 12*tomatoes <= 81)
m.addConstr(2*lemons + 12*tomatoes <= 102)
m.addConstr(8*eggs + 15*bagged_salads + 12*tomatoes <= 142)
m.addConstr(2*lemons + 8*eggs + 12*tomatoes <= 147)
m.addConstr(2*lemons + 8*eggs + 15*bagged_salads + 12*tomatoes <= 147)

# Resource constraints
m.addConstr(14*lemons + 4*eggs + 15*bagged_salads + 13*tomatoes <= 135)
m.addConstr(11*lemons + 5*eggs + 5*bagged_salads + 4*tomatoes <= 156)
m.addConstr(2*lemons + 8*eggs + 15*bagged_salads + 12*tomatoes <= 156)


# 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)

```