# Parameters initial_money = 10000 # initial amount of money discount_rate = 0.45 # discount rate cutoff_price = 1500 # cutoff price # Calculate the geometric sequence until the money falls below the cutoff money = initial_money total_spent = 0 while money >= cutoff_price: total_spent += money money *= discount_rate # Calculate the discount rate discount_ratio = total_spent / initial_money print(discount_ratio)

import matplotlib.pyplot as plt import numpy as np # Parameters discount_rate = 0.5 # discount rate # Define the initial money array initial_money_array = np.linspace(1000, 20000, 100) # Calculate and plot discount ratio for different cutoff prices for cutoff_price in [300, 1500]: # Calculate the discount ratio for each initial money discount_ratio_array = np.zeros_like(initial_money_array) for i, initial_money in enumerate(initial_money_array): money = initial_money total_spent = 0 while money >= cutoff_price: total_spent += money money *= discount_rate discount_ratio_array[i] = total_spent / initial_money # Plot the result plt.figure(figsize=(10, 6)) plt.plot(initial_money_array, discount_ratio_array, label=f'Cutoff price = {cutoff_price} yen') plt.xlabel('Initial Money (yen)') plt.ylabel('Discount Ratio') plt.title('Discount Ratio vs Initial Money for Different Cutoff Prices') plt.legend() plt.grid(True) plt.show()