## Step 1: Define the symbolic representation of the variables
The variables are 'strips of bacon', 'slices of pizza', and 'fruit salads', which we will denote as $x_0$, $x_1$, and $x_2$ respectively.

## Step 2: Convert the objective function into a symbolic representation
The objective function to minimize is $8.71x_0^2 + 3.39x_0x_2 + 3.22x_1x_2 + 2.28x_2^2 + 7.59x_1 + 6.1x_2$.

## Step 3: List the constraints in symbolic notation
1. $22x_0 \leq 235$
2. $8x_0 \leq 199$
3. $20x_0 \leq 468$
4. $17x_0 \leq 376$
5. $x_0 \leq 199$
6. $13x_1 \leq 235$
7. $2x_1 \leq 199$
8. $3x_1 \leq 468$
9. $19x_1 \leq 376$
10. $23x_1 \leq 199$
11. $22x_2 \leq 235$
12. $7x_2 \leq 199$
13. $2x_2 \leq 468$
14. $13x_2 \leq 376$
15. $11x_2 \leq 199$
16. $22x_0 + 13x_1 \geq 45$
17. $13x_1 + 22x_2 \geq 52$
18. $22x_0 + 13x_1 + 22x_2 \geq 52$
19. $2x_1 + 7x_2 \geq 38$
20. $8x_0 + 2x_1 \geq 22$
21. $8x_0 + 2x_1 + 7x_2 \geq 41$
22. $20x_0 + 2x_2 \geq 106$
23. $3x_1 + 2x_2 \geq 113$
24. $20x_0 + 3x_1 \geq 138$
25. $20x_0 + 3x_1 + 2x_2 \geq 122$
26. $20x_0 + 3x_1 + 2x_2 \geq 122$
27. $19x_1 + 13x_2 \geq 84$
28. $17x_0 + 13x_2 \geq 101$
29. $17^2x_0^2 + 19^2x_1^2 \geq 95$
30. $17x_0 + 19x_1 + 13x_2 \geq 95$
31. $x_0 + 23x_1 \geq 57$
32. $x_0 + 11x_2 \geq 44$
33. $x_0 + 23x_1 + 11x_2 \geq 44$
34. $-10x_0 + 9x_2 \geq 0$
35. $-4x_1^2 + 5x_2^2 \geq 0$
36. $3x_1^2 + 2x_2^2 \leq 291$
37. $20x_0 + 2x_2 \leq 218$
38. $17^2x_0^2 + 13^2x_2^2 \leq 279$
39. $x_0 + 23x_1 + 11x_2 \leq 140$
40. $x_0 \in \mathbb{Z}$
41. $x_1 \in \mathbb{R}$
42. $x_2 \in \mathbb{R}$

## Step 4: Write the Gurobi code for the optimization problem
```python
import gurobi as gp

# Define the model
m = gp.Model("optimization_problem")

# Define the variables
x0 = m.addVar(name="strips_of_bacon", vtype=gp.GRB.INTEGER)
x1 = m.addVar(name="slices_of_pizza")
x2 = m.addVar(name="fruit_salads")

# Objective function
m.setObjective(8.71 * x0**2 + 3.39 * x0 * x2 + 3.22 * x1 * x2 + 2.28 * x2**2 + 7.59 * x1 + 6.1 * x2, gp.GRB.MINIMIZE)

# Constraints
m.addConstr(22 * x0 <= 235)
m.addConstr(8 * x0 <= 199)
m.addConstr(20 * x0 <= 468)
m.addConstr(17 * x0 <= 376)
m.addConstr(x0 <= 199)
m.addConstr(13 * x1 <= 235)
m.addConstr(2 * x1 <= 199)
m.addConstr(3 * x1 <= 468)
m.addConstr(19 * x1 <= 376)
m.addConstr(23 * x1 <= 199)
m.addConstr(22 * x2 <= 235)
m.addConstr(7 * x2 <= 199)
m.addConstr(2 * x2 <= 468)
m.addConstr(13 * x2 <= 376)
m.addConstr(11 * x2 <= 199)
m.addConstr(22 * x0 + 13 * x1 >= 45)
m.addConstr(13 * x1 + 22 * x2 >= 52)
m.addConstr(22 * x0 + 13 * x1 + 22 * x2 >= 52)
m.addConstr(2 * x1 + 7 * x2 >= 38)
m.addConstr(8 * x0 + 2 * x1 >= 22)
m.addConstr(8 * x0 + 2 * x1 + 7 * x2 >= 41)
m.addConstr(20 * x0 + 2 * x2 >= 106)
m.addConstr(3 * x1 + 2 * x2 >= 113)
m.addConstr(20 * x0 + 3 * x1 >= 138)
m.addConstr(20 * x0 + 3 * x1 + 2 * x2 >= 122)
m.addConstr(19 * x1 + 13 * x2 >= 84)
m.addConstr(17 * x0 + 13 * x2 >= 101)
m.addConstr(17**2 * x0**2 + 19**2 * x1**2 >= 95)
m.addConstr(17 * x0 + 19 * x1 + 13 * x2 >= 95)
m.addConstr(x0 + 23 * x1 >= 57)
m.addConstr(x0 + 11 * x2 >= 44)
m.addConstr(x0 + 23 * x1 + 11 * x2 >= 44)
m.addConstr(-10 * x0 + 9 * x2 >= 0)
m.addConstr(-4 * x1**2 + 5 * x2**2 >= 0)
m.addConstr(3 * x1**2 + 2 * x2**2 <= 291)
m.addConstr(20 * x0 + 2 * x2 <= 218)
m.addConstr(17**2 * x0**2 + 13**2 * x2**2 <= 279)
m.addConstr(x0 + 23 * x1 + 11 * x2 <= 140)

# Solve the model
m.optimize()

# Print the solution
if m.status == gp.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("Strips of bacon: ", x0.varValue)
    print("Slices of pizza: ", x1.varValue)
    print("Fruit salads: ", x2.varValue)
else:
    print("The model is infeasible")
```

## Step 5: Provide the symbolic representation in JSON format
```json
{
    "sym_variables": [
        ["x0", "strips of bacon"],
        ["x1", "slices of pizza"],
        ["x2", "fruit salads"]
    ],
    "objective_function": "8.71*x0^2 + 3.39*x0*x2 + 3.22*x1*x2 + 2.28*x2^2 + 7.59*x1 + 6.1*x2",
    "constraints": [
        "22*x0 <= 235",
        "8*x0 <= 199",
        "20*x0 <= 468",
        "17*x0 <= 376",
        "x0 <= 199",
        "13*x1 <= 235",
        "2*x1 <= 199",
        "3*x1 <= 468",
        "19*x1 <= 376",
        "23*x1 <= 199",
        "22*x2 <= 235",
        "7*x2 <= 199",
        "2*x2 <= 468",
        "13*x2 <= 376",
        "11*x2 <= 199",
        "22*x0 + 13*x1 >= 45",
        "13*x1 + 22*x2 >= 52",
        "22*x0 + 13*x1 + 22*x2 >= 52",
        "2*x1 + 7*x2 >= 38",
        "8*x0 + 2*x1 >= 22",
        "8*x0 + 2*x1 + 7*x2 >= 41",
        "20*x0 + 2*x2 >= 106",
        "3*x1 + 2*x2 >= 113",
        "20*x0 + 3*x1 >= 138",
        "20*x0 + 3*x1 + 2*x2 >= 122",
        "19*x1 + 13*x2 >= 84",
        "17*x0 + 13*x2 >= 101",
        "289*x0^2 + 361*x1^2 >= 95",
        "17*x0 + 19*x1 + 13*x2 >= 95",
        "x0 + 23*x1 >= 57",
        "x0 + 11*x2 >= 44",
        "x0 + 23*x1 + 11*x2 >= 44",
        "-10*x0 + 9*x2 >= 0",
        "-4*x1^2 + 5*x2^2 >= 0",
        "3*x1^2 + 2*x2^2 <= 291",
        "20*x0 + 2*x2 <= 218",
        "289*x0^2 + 169*x2^2 <= 279",
        "x0 + 23*x1 + 11*x2 <= 140"
    ]
}
```