## Problem Description and Formulation

The problem is a linear programming optimization problem. The goal is to maximize the profit of an ice cream bar by determining the optimal number of vanilla and chocolate ice cream cones to produce.

### Decision Variables

* \(V\): The number of vanilla ice cream cones to produce.
* \(C\): The number of chocolate ice cream cones to produce.

### Objective Function

The profit per cone of vanilla ice cream is $2, and the profit per cone of chocolate ice cream is $3. The objective is to maximize the total profit \(P\), which can be represented as:

\[P = 2V + 3C\]

### Constraints

1. The ice cream bar must make at least 20 cones of vanilla ice cream: \(V \geq 20\).
2. The ice cream bar cannot make more than 50 cones of vanilla ice cream: \(V \leq 50\).
3. The ice cream bar must make at least 25 cones of chocolate ice cream: \(C \geq 25\).
4. The ice cream bar cannot make more than 60 cones of chocolate ice cream: \(C \leq 60\).
5. In total, the ice cream bar can make at most 80 cones: \(V + C \leq 80\).

## Gurobi Code

```python
import gurobi

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

    # Define the decision variables
    V = model.addVar(lb=20, ub=50, name="Vanilla")
    C = model.addVar(lb=25, ub=60, name="Chocolate")

    # Objective function: Maximize profit
    model.setObjective(2 * V + 3 * C, gurobi.GRB.MAXIMIZE)

    # Constraint: Total cones cannot exceed 80
    model.addConstr(V + C <= 80, name="TotalCones")

    # Solve the model
    model.optimize()

    # Check if the model is optimized
    if model.status == gurobi.GRB.OPTIMAL:
        print(f"Optimal Solution: Vanilla = {V.varValue}, Chocolate = {C.varValue}")
        print(f"Maximum Profit: ${2 * V.varValue + 3 * C.varValue}")
    else:
        print("The model is infeasible.")

solve_ice_cream_problem()
```

This code defines the optimization problem using Gurobi's Python interface, sets up the objective function and constraints, and solves the model to find the optimal production levels for vanilla and chocolate ice cream cones that maximize profit.