"""
5s + 15z >= 50
20s + 5z >= 40
15s + 2z <= 60
8s + 4z -> min

KANONICZNA:
 -5s - 15z <= -50
-20s -  5z <= -40
 15s +  2z <=  60
 -8s -  4z ->  max

"""

import numpy as np
from scipy.optimize import linprog
from numpy.linalg import solve

left = np.array([
        [-5,-15],
        [-20,-5],
        [15,2]])
right = np.array([-50,-40,60])

c = np.array([8,4])

res = linprog(c, A_ub=left,b_ub=right,bounds=(0,None))

print("Optymalna ilosc: ")
print("STEKI: "+repr(res.x[0]))
print("ZIEMNIAKI: "+repr(res.x[1]))
print("\nCena: ",end="")
print(8*res.x[0] + 4*res.x[1])