八元一次不等式方程求解

已知A.B.C.D.E.F.G.H≠0
2A≥3B+5C+10D+20E+30F+40G+50H
3B≥2A+5C+10D+20E+30F+40G+50H
5C≥2A+3B+10D+20E+30F+40G+50H
10D≥2A+3B+5C+20E+30F+40G+50H
20E≥2A+3B+5C+10D+30F+40G+50H
30F≥2A+3B+5C+10D+20E+40G+50H
40H≥2A+3B+5C+10D+20E+30F+50H
50G≥2A+3B+5C+10D+20E+30F+40G
2A≤A+B+C+D+E+F+H+G
3B≤A+B+C+D+E+F+H+G
5C≤A+B+C+D+E+F+H+G
10D≤A+B+C+D+E+F+H+G
20E≤A+B+C+D+E+F+H+G
30F≤A+B+C+D+E+F+H+G
40G≤A+B+C+D+E+F+H+G
50H≤A+B+C+D+E+F+H+G
求：A.B.C.D.E.F.G.H的值?或最小值!
0,0,0,0,0,0,0,0
规划求解