# Untitled

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python

17 days ago

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import numpy as np import matplotlib.pyplot as plt # Create an array of 500 evenly spaced points between 0 and 30 for the x-axis (x1) x1 = np.linspace(0, 30, 500) # Define the equation of the line for the "tissues" constraint: 0.3 * x1 + 0.1 * x2 <= 2.7 # Rearranged as: x2 = (2.7 - 0.3 * x1) / 0.1 x2_tissues = (2.7 - 0.3 * x1) / 0.1 # Define the equation of the line for the "tumor" constraint: 0.6 * x1 + 0.4 * x2 >= 6 # Rearranged as: x2 = (6 - 0.6 * x1) / 0.4 x2_tumor = (6 - 0.6 * x1) / 0.4 # Plot the line for the tissue constraint plt.plot(x1, x2_tissues, label=r'0.3 * x1 + 0.1 * x2 <= 2.7', color='blue') # Plot the line for the tumor constraint plt.plot(x1, x2_tumor, label=r'0.6 * x1 + 0.4 * x2 >= 6', color='red') # Set the x-axis limits to only show values between 0 and 15 for better visualization plt.xlim(0, 15) # Fill the area below the tissue constraint line with brown color to indicate feasible region plt.fill_between(x1, x2_tissues, color='tab:brown', label='Feasible Region') # Fill the area above the tumor constraint line with brown color plt.fill_between(x1, x2_tumor, color='tab:brown') # Remove the overlapping area between the two regions to highlight the true feasible region plt.fill_between(x1, x2_tissues, x2_tumor, color='white') # Set the y-axis limits between 0 and 30 plt.ylim(0, 30) # Add a legend to describe the lines and regions in the plot plt.legend() # Label the x-axis as "Beam 1" plt.xlabel("Beam 1") # Label the y-axis as "Beam 2" plt.ylabel("Beam 2") # Show the plot plt.show()

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