import numpy as np
from matplotlib import pyplot as plt
from ipywidgets_static.interact import StaticInteract
from ipywidgets_static.widgets import RangeWidget, DropDownWidget, RadioWidget
def plot_example(fluxUpperBound, title, color):
plt.rcParams.update({'figure.max_open_warning': 0})
fig = plt.figure(figsize=(10,8))
plt.title(title, fontsize=18)
plt.xlabel('$v_j$', fontsize=18)
plt.ylabel('$v_i$', fontsize=18)
x = np.linspace(0, 1000, 10)
plt.vlines(fluxUpperBound, 1000, 0, colors='orange', linewidth=3)
line1, = plt.plot(x, x, color='black', linestyle='--', label='$v_i=v_j$')
line2, = plt.plot(x, 0.5*x + 200, color='blue', linewidth=3, label='$v_i=0.5v_j+200$')
line3, = plt.plot(x, 2*x + 250, color='red', linewidth=3, label='$v_i=2v_j+250$')
plt.ylim(0, 1000)
plt.xlim(0, 1000)
xfill = np.linspace(0, fluxUpperBound, 10)
plt.fill_between(xfill, 0.5*xfill + 200, 2*xfill + 250, color=color)
plt.legend(handles=[line1, line2, line3], loc=4, frameon=False)
plt.text(300, 600, '$v_i>v_j$', fontsize=18)
plt.text(600, 300, '$v_i<v_j$', fontsize=18)
return fig