Math Is Fun Forum

I thought about it from a different perspective, so I did this table:

            O        P         L           T         A         Price

H                   x1        x2                   x3         100
G         x4      x5        x6                               120
O         x7                                                    129
P                   x8                                          125
L                               x9                              110
T                                         x10                   88
A                                                   x11         97

Avail.  32000  25000  21000  18000  27000    Availability

Cost     94       87       73        47       68
per kg

Revenue per juice

Juice H
C1 = 100 - 87 = 13
C2 = 100 - 73 = 27
C3 = 100 - 68 = 32

Juice G
C4 = 120 - 94 = 26
C5 = 120 - 87 = 33
C5 = 120 - 73 = 47

Juice O
C7 = 129 - 94 = 35

Juice P
C8 = 125 - 87 = 38

Juice L
C9 = 1|0 - 73 = 37

Juice T
C10 = 88 - 47 = 41

Juice A
C11 = 97 - 68 = 29

So the goal function whould be:

Z = 13x1 + 27x2 + 32x3 + 26x4 + 33x5 + 47x6 + 35x7 + 38x8 + 37x9 + 41x10 + 29x11

Contraints or restrictions:

x4 + x7         <= 32000
x1 + x5 + x8 <= 25000
x2 + x6 + x9 <= 21000
x10              <= 18000
x3 + x11       <= 27000

And here's where I think I have the problem:

x1 <= 0.20x1         If I work this ecuation
x1 - 0.20x1 <= 0
0.80x1 <= 0          <- this would be the result

The next ones already worked out:
0.9x2 >= 0   

0.50x3 <= 0

0.60x4 <= 0

0.75x5 <= 0

0.65x6 <= 0

If I enter those values in QM for Windows, the value for X is 0.
I think the problem is with the restrictions, but I don't know what else to do...

Thanks!