A firm that manages tanker ships has received an order to transport $10000$lt of diesel, $13500$lt of

regular gasoline, and $16000$ lt of super gasoline. The ship that will be used has $5$ tanks with capacities

$9500,7500,6000,6800$ and $8500$ lt$.$ Given that each tank can only be used for one type of product,

the objective is to determine the amounts to load in each tank, so that the total amount transported

is maximized. Formulate an integer linear program for this problem.