Production optimization example

production-optimization-example.py

#Optimal production quantities for products A and B
import pandas as pd
from scipy.optimize import linprog

# Coefficients for the objective function (negative for maximization)
c = [-40, -30]
# Coefficients for the inequality constraints
A = [
    [2, 4],   # Labor constraint
    [3, 2]    # Material constraint
]
b = [100, 90]
# Bounds for A and B (non-negative)
bounds = [(0, None), (0, None)]

# Solve the linear program
result = linprog(c, A_ub=A, b_ub=b, bounds=bounds, method='highs')

# Extract optimal values for A and B, and the maximum profit
optimal_A, optimal_B = result.x
max_profit = -result.fun

# Prepare results as a DataFrame for easy viewing
solution_df = pd.DataFrame({
    'Product': ['A', 'B'],
    'Optimal Units': [optimal_A, optimal_B]
})
solution_df['Optimal Units'] = solution_df['Optimal Units'].round(2)

solution_df