## Step 1: Define the symbolic representation of the problem
The problem involves variables: 'rotisserie chickens', 'strawberries', 'oreos', 'strips of bacon'. Let's denote them as $x_0, x_1, x_2, x_3$ respectively.

## Step 2: Convert the objective function into symbolic notation
The objective function to minimize is $7x_0 + 5x_1 + 4x_2 + 6x_3$.

## Step 3: List all constraints in symbolic notation
1. $2x_0 + 3x_1 + 3x_2 + 6x_3 \leq 244$ (dollar cost)
2. $7x_0 + 7x_1 + 11x_2 + 11x_3 \leq 341$ (milligrams of calcium)
3. $3x_0 + 11x_1 + 3x_2 + 13x_3 \leq 301$ (umami index)
4. $3x_2 + 6x_3 \geq 60$ (spend at least $60 on oreos plus strips of bacon)
5. $2x_0 + 3x_2 \geq 23$ (spend at least $23 on rotisserie chickens and oreos)
6. $2x_0 + 3x_1 + 3x_2 + 6x_3 \geq 23$ (spend at least $23 on all)
7. $7x_0 + 11x_3 \geq 77$ (at least 77 milligrams of calcium from rotisserie chickens and strips of bacon)
8. $7x_0 + 11x_2 \geq 47$ (at least 47 milligrams of calcium from rotisserie chickens and oreos)
9. $7x_1 + 11x_2 \geq 71$ (at least 71 milligrams of calcium from strawberries and oreos)
10. $11x_2 + 11x_3 \geq 82$ (at least 82 milligrams of calcium from oreos and strips of bacon)
11. $7x_1 + 11x_3 \geq 75$ (at least 75 milligrams of calcium from strawberries and strips of bacon)
12. $7x_0 + 11x_2 + 11x_3 \geq 79$ (at least 79 milligrams of calcium from rotisserie chickens, oreos, and strips of bacon)
13. $7x_0 + 7x_1 + 11x_3 \geq 79$ (at least 79 milligrams of calcium from rotisserie chickens, strawberries, and strips of bacon)
14. $7x_0 + 11x_2 + 11x_3 \geq 80$ (at least 80 milligrams of calcium from rotisserie chickens, oreos, and strips of bacon)
15. $7x_0 + 7x_1 + 11x_3 \geq 80$ (at least 80 milligrams of calcium from rotisserie chickens, strawberries, and strips of bacon)
16. $7x_0 + 7x_1 + 11x_2 + 11x_3 \geq 80$ (at least 80 milligrams of calcium from all)
17. $3x_0 + 3x_2 \geq 37$ (umami index from rotisserie chickens and oreos)
18. $11x_1 + 3x_2 \geq 72$ (umami index from strawberries and oreos)
19. $3x_0 + 3x_2 + 13x_3 \geq 69$ (umami index from rotisserie chickens, oreos, and strips of bacon)
20. $11x_1 + 3x_2 + 13x_3 \geq 69$ (umami index from strawberries, oreos, and strips of bacon)
21. $3x_0 + 13x_3 \geq 49$ (umami index from rotisserie chickens and strips of bacon)
22. $11x_1 + 13x_3 \geq 49$ (umami index from strawberries and strips of bacon)
23. $3x_0 + 3x_2 + 13x_3 \geq 49$ (umami index from rotisserie chickens, oreos, and strips of bacon)
24. $10x_1 - 6x_2 \geq 0$
25. $7x_0 - x_3 \geq 0$
26. $3x_1 + 3x_2 \leq 196$ (cost of strawberries and oreos)
27. $2x_0 + 6x_3 \leq 221$ (cost of rotisserie chickens and strips of bacon)
28. $3x_1 + 6x_3 \leq 100$ (cost of strawberries and strips of bacon)
29. $2x_0 + 3x_1 \leq 183$ (cost of rotisserie chickens and strawberries)
30. $3x_1 + 3x_2 + 6x_3 \leq 124$ (cost of strawberries, oreos, and strips of bacon)
31. $2x_0 + 3x_2 + 6x_3 \leq 179$ (cost of rotisserie chickens, oreos, and strips of bacon)
32. $11x_2 + 11x_3 \leq 288$ (calcium from oreos and strips of bacon)
33. $7x_0 + 7x_1 \leq 278$ (calcium from rotisserie chickens and strawberries)
34. $3x_0 + 13x_3 \leq 139$ (umami index from rotisserie chickens and strips of bacon)
35. $3x_0 + 3x_2 \leq 148$ (umami index from rotisserie chickens and oreos)
36. $3x_0 + 3x_2 + 13x_3 \leq 77$ (umami index from rotisserie chickens, oreos, and strips of bacon)
37. $3x_0 + 11x_1 + 13x_3 \leq 115$ (umami index from rotisserie chickens, strawberries, and strips of bacon)

## 4: Define the symbolic representation
```json
{
    'sym_variables': [
        ('x0', 'rotisserie chickens'),
        ('x1', 'strawberries'),
        ('x2', 'oreos'),
        ('x3', 'strips of bacon')
    ],
    'objective_function': '7*x0 + 5*x1 + 4*x2 + 6*x3',
    'constraints': [
        '2*x0 + 3*x1 + 3*x2 + 6*x3 <= 244',
        '7*x0 + 7*x1 + 11*x2 + 11*x3 <= 341',
        '3*x0 + 11*x1 + 3*x2 + 13*x3 <= 301',
        '3*x2 + 6*x3 >= 60',
        '2*x0 + 3*x2 >= 23',
        '2*x0 + 3*x1 + 3*x2 + 6*x3 >= 23',
        '7*x0 + 11*x3 >= 77',
        '7*x0 + 11*x2 >= 47',
        '7*x1 + 11*x2 >= 71',
        '11*x2 + 11*x3 >= 82',
        '7*x1 + 11*x3 >= 75',
        '7*x0 + 11*x2 + 11*x3 >= 79',
        '7*x0 + 7*x1 + 11*x3 >= 79',
        '7*x0 + 11*x2 + 11*x3 >= 80',
        '7*x0 + 7*x1 + 11*x3 >= 80',
        '7*x0 + 7*x1 + 11*x2 + 11*x3 >= 80',
        '3*x0 + 3*x2 >= 37',
        '11*x1 + 3*x2 >= 72',
        '3*x0 + 3*x2 + 13*x3 >= 69',
        '11*x1 + 3*x2 + 13*x3 >= 69',
        '3*x0 + 13*x3 >= 49',
        '11*x1 + 13*x3 >= 49',
        '3*x0 + 3*x2 + 13*x3 >= 49',
        '10*x1 - 6*x2 >= 0',
        '7*x0 - x3 >= 0',
        '3*x1 + 3*x2 <= 196',
        '2*x0 + 6*x3 <= 221',
        '3*x1 + 6*x3 <= 100',
        '2*x0 + 3*x1 <= 183',
        '3*x1 + 3*x2 + 6*x3 <= 124',
        '2*x0 + 3*x2 + 6*x3 <= 179',
        '11*x2 + 11*x3 <= 288',
        '7*x0 + 7*x1 <= 278',
        '3*x0 + 13*x3 <= 139',
        '3*x0 + 3*x2 <= 148',
        '3*x0 + 3*x2 + 13*x3 <= 77',
        '3*x0 + 11*x1 + 13*x3 <= 115'
    ]
}
```

## 5: Gurobi Python Code
```python
import gurobi

# Define the model
m = gurobi.Model()

# Define the variables
x0 = m.addVar(name="x0", lb=0)  # rotisserie chickens
x1 = m.addVar(name="x1", lb=0)  # strawberries
x2 = m.addVar(name="x2", lb=0, integrality=gurobi.GRB.INTEGER)  # oreos
x3 = m.addVar(name="x3", lb=0)  # strips of bacon

# Objective function
m.setObjective(7 * x0 + 5 * x1 + 4 * x2 + 6 * x3, gurobi.GRB.MINIMIZE)

# Constraints
m.addConstr(2 * x0 + 3 * x1 + 3 * x2 + 6 * x3 <= 244)
m.addConstr(7 * x0 + 7 * x1 + 11 * x2 + 11 * x3 <= 341)
m.addConstr(3 * x0 + 11 * x1 + 3 * x2 + 13 * x3 <= 301)
m.addConstr(3 * x2 + 6 * x3 >= 60)
m.addConstr(2 * x0 + 3 * x2 >= 23)
m.addConstr(2 * x0 + 3 * x1 + 3 * x2 + 6 * x3 >= 23)
m.addConstr(7 * x0 + 11 * x3 >= 77)
m.addConstr(7 * x0 + 11 * x2 >= 47)
m.addConstr(7 * x1 + 11 * x2 >= 71)
m.addConstr(11 * x2 + 11 * x3 >= 82)
m.addConstr(7 * x1 + 11 * x3 >= 75)
m.addConstr(7 * x0 + 11 * x2 + 11 * x3 >= 79)
m.addConstr(7 * x0 + 7 * x1 + 11 * x3 >= 79)
m.addConstr(7 * x0 + 11 * x2 + 11 * x3 >= 80)
m.addConstr(7 * x0 + 7 * x1 + 11 * x3 >= 80)
m.addConstr(7 * x0 + 7 * x1 + 11 * x2 + 11 * x3 >= 80)
m.addConstr(3 * x0 + 3 * x2 >= 37)
m.addConstr(11 * x1 + 3 * x2 >= 72)
m.addConstr(3 * x0 + 3 * x2 + 13 * x3 >= 69)
m.addConstr(11 * x1 + 3 * x2 + 13 * x3 >= 69)
m.addConstr(3 * x0 + 13 * x3 >= 49)
m.addConstr(11 * x1 + 13 * x3 >= 49)
m.addConstr(3 * x0 + 3 * x2 + 13 * x3 >= 49)
m.addConstr(10 * x1 - 6 * x2 >= 0)
m.addConstr(7 * x0 - x3 >= 0)
m.addConstr(3 * x1 + 3 * x2 <= 196)
m.addConstr(2 * x0 + 6 * x3 <= 221)
m.addConstr(3 * x1 + 6 * x3 <= 100)
m.addConstr(2 * x0 + 3 * x1 <= 183)
m.addConstr(3 * x1 + 3 * x2 + 6 * x3 <= 124)
m.addConstr(2 * x0 + 3 * x2 + 6 * x3 <= 179)
m.addConstr(11 * x2 + 11 * x3 <= 288)
m.addConstr(7 * x0 + 7 * x1 <= 278)
m.addConstr(3 * x0 + 13 * x3 <= 139)
m.addConstr(3 * x0 + 3 * x2 <= 148)
m.addConstr(3 * x0 + 3 * x2 + 13 * x3 <= 77)
m.addConstr(3 * x0 + 11 * x1 + 13 * x3 <= 115)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objval)
    print("x0: ", x0.varValue)
    print("x1: ", x1.varValue)
    print("x2: ", x2.varValue)
    print("x3: ", x3.varValue)
else:
    print("The model is infeasible")
```