Model the following problem as Linear Programming and solve it:

A ship has three storage places: at bow, center and stern. Each storage capacity is summarized in the following table: Storage Weight capacity Volume capacity Bow 2000 Ton 100.000 m3 Center 3000 Ton 135,000 m3 Stern 1500 Ton 30,000 m3 The ship can be used to transport cargo of items A, B and C, and obtain profits from it. The ship design allows loading the totality or part of the totality of any item on any storage place. Information about items is as follows: Item Quantity (ton) Volume per ton (m3) Profits ($/ton) AL 6,000 4,000 50 2.000 25 60 6 To preserve the ship's balance, the weight on each storage place must be proportional with respect to the weight capacity, and this proportion must be the same for all the storage places