OSCS, the world's leading intercontinental ship container transportation company,

wants to prepare its largest ship $($Titan I $)$ for the upcoming delivery. Titan I has

five compartments for storing cargo: bow, front, center, port and rear. These

compartments have the following limits on both weight and space:

Furthermore, the weight of the cargo in the respective compartments must be the same

proportion of that compartment's weight capacity to maintain the balance of the ship.

The following six cargoes are available for shipment on the next voyage:

In addition, among these six cargoes, there are cargoes of two companies that are

regular customers of the company OSCS. The cargo requested by these two customers

is second cargo for the first customer, and sixth cargo for the second customer. Since

the company wants to satisfy its regular customers, it will accept at least $50$ tons of

cargo from the first customer and $60$ tons of cargo from the second customer. Apart

from this regular customers demand, any proportion of these cargoes can be accepted.