import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
 
# Definimos las funciones de las restricciones
def lijado(x, y):
    return (960 - 10*x - 12*y) / 15
 
def pintura(x, y):
    return (660 - 6*x - 8*y) / 12
 
def barnizado(x, y):
    return (1080 - 12*x - 12*y) / 18
 
# Definimos los rangos para x y y
x = np.linspace(0, 50, 100)
y = np.linspace(0, 50, 100)
 
# Creamos una malla de puntos (x, y)
X, Y = np.meshgrid(x, y)
 
# Calculamos los valores z para cada restricción
Z_lijado = lijado(X, Y)
Z_pintura = pintura(X, Y)
Z_barnizado = barnizado(X, Y)
 
# Graficamos las restricciones
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
 
# Restricción de tiempo de lijado
ax.plot_surface(X, Y, Z_lijado, alpha=0.5, cmap='viridis', edgecolor='none')
# Restricción de tiempo de pintura
ax.plot_surface(X, Y, Z_pintura, alpha=0.5, cmap='plasma', edgecolor='none')
# Restricción de tiempo de barnizado
ax.plot_surface(X, Y, Z_barnizado, alpha=0.5, cmap='inferno', edgecolor='none')
 
# Definimos los límites de los ejes
ax.set_xlim(0, 50)
ax.set_ylim(0, 50)
ax.set_zlim(0, 50)
 
# Etiquetas de los ejes
ax.set_xlabel('Sillas (x)')
ax.set_ylabel('Mesas para café (y)')
ax.set_zlabel('Mesas para comedor (z)')
 
plt.title('Restricciones de tiempo de fabricación')
plt.show()
 

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