import numpy as np
import matplotlib.pyplot as plt
from pymc_marketing.mmm.transformers import michaelis_menten

x = np.linspace(0, 100, 500)
alpha = 10
lam = 50
y = michaelis_menten(x, alpha, lam)

plt.plot(x, y)
plt.xlabel('Spend/Impressions (x)')
plt.ylabel('Contribution (y)')
plt.title('Michaelis-Menten Function')
plt.show()