## Problem Description and Formulation

The problem is an optimization problem where we need to maximize a given objective function subject to several constraints. The variables are 'apples', 'eggs', and 'bowls of instant ramen'. The objective function to maximize is:

\[ 9.29 \times \text{apples}^2 + 3.05 \times \text{apples} \times \text{eggs} + 9.45 \times \text{eggs} \times \text{bowls of instant ramen} + 7.93 \times \text{apples} + 6.27 \times \text{eggs} + 8.08 \times \text{bowls of instant ramen} \]

Subject to the following constraints:

1. Fiber content in apples, eggs, and bowls of instant ramen: 
   - Apples: 2.67 grams
   - Eggs: 0.43 grams
   - Bowls of instant ramen: 2.94 grams

2. At least 31 grams of fiber from eggs and bowls of instant ramen.
3. At least 16 grams of fiber from apples squared and bowls of instant ramen squared.
4. At most 97 grams of fiber from eggs squared and bowls of instant ramen squared.
5. At most 90 grams of fiber from apples and eggs.
6. At most 90 grams of fiber from apples, eggs, and bowls of instant ramen.

## Gurobi Code Formulation

```python
import gurobi

def optimize_problem():
    # Create a new model
    model = gurobi.Model()

    # Define variables
    apples = model.addVar(lb=-gurobi.GRB.INFINITY, name="apples")
    eggs = model.addVar(lb=-gurobi.GRB.INFINITY, name="eggs")
    bowls_of_instant_ramen = model.addVar(lb=-gurobi.GRB.INFINITY, name="bowls_of_instant_ramen")

    # Objective function
    model.setObjective(9.29 * apples**2 + 3.05 * apples * eggs + 9.45 * eggs * bowls_of_instant_ramen + 
                       7.93 * apples + 6.27 * eggs + 8.08 * bowls_of_instant_ramen, gurobi.GRB.MAXIMIZE)

    # Constraints
    # 1. Fiber content
    fiber_apples = 2.67 * apples
    fiber_eggs = 0.43 * eggs
    fiber_bowls_of_instant_ramen = 2.94 * bowls_of_instant_ramen

    # 2. At least 31 grams of fiber from eggs and bowls of instant ramen
    model.addConstraint(fiber_eggs + fiber_bowls_of_instant_ramen >= 31, name="fiber_eggs_bowls")

    # 3. At least 16 grams of fiber from apples squared and bowls of instant ramen squared
    model.addConstraint(fiber_apples**2 + fiber_bowls_of_instant_ramen**2 >= 16, name="fiber_apples_bowls_squared")

    # 4. At most 97 grams of fiber from eggs squared and bowls of instant ramen squared
    model.addConstraint(fiber_eggs**2 + fiber_bowls_of_instant_ramen**2 <= 97, name="fiber_eggs_bowls_squared_max")

    # 5. At most 90 grams of fiber from apples and eggs
    model.addConstraint(fiber_apples + fiber_eggs <= 90, name="fiber_apples_eggs")

    # 6. At most 90 grams of fiber from apples, eggs, and bowls of instant ramen
    model.addConstraint(fiber_apples + fiber_eggs + fiber_bowls_of_instant_ramen <= 90, name="fiber_total")

    # Solve the problem
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Optimal Solution:")
        print(f"Apples: {apples.varValue}")
        print(f"Eggs: {eggs.varValue}")
        print(f"Bowls of instant ramen: {bowls_of_instant_ramen.varValue}")
        print(f"Objective: {model.objVal}")
    else:
        print("The problem is infeasible or unbounded.")

optimize_problem()
```