gurobi python demo

Sure! Here's a simple Python demo using Gurobi, a popular optimization solver:

import gurobipy as gp
from gurobipy import GRB

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

# Create variables
x = model.addVar(vtype=GRB.CONTINUOUS, name="x")
y = model.addVar(vtype=GRB.CONTINUOUS, name="y")

# Set objective function
model.setObjective(2*x + 3*y, GRB.MAXIMIZE)

# Add constraints
model.addConstr(x + y <= 5, name="c1")
model.addConstr(4*x - y >= 1, name="c2")

# Optimize the model
model.optimize()

# Print the solution
if model.status == GRB.OPTIMAL:
    print("Optimal solution found!")
    print(f"x = {x.x}")
    print(f"y = {y.x}")
else:
    print("No solution found.")

This demo creates a simple optimization model with two variables `x` and `y`. It sets the objective function as `2*x + 3*y` and adds two constraints. The model is then optimized using the `optimize()` method. Finally, it prints the optimal solution if one is found.