Luke found this treasure map to an Island which holds a big chunk of treasure. He figured out the route to the place, but the rules to be followed to reach there and come back with the money confused him.
Here are the items to be noted to reach the treasure and come back with money:
1. He need to cross 5 different rivers. Boats are available to cross these rivers, but each boat man will take half of the total money that is with him at the moment.
2. Once he crossed all 5 rivers and reached the treasure island, the islanders will allow him to take the treasure in terms of Dollars ($$), but the total amount he can take back from the island cannot be more than 1 Million Dollars (inclusive of the money he has with him at the moment). For E.g. if he has $100,000 with him at the moment, he can take only $900,000 from the island.
3. To reach back to his place, he needs to cross those 5 rivers back and pay fees to the boat men in the same manner as mentioned in 1.
So, the questions here is:
A -- What is the Maximum profit Luke can ever bring home from the Island?
B -- How much money he should take from home to bring the maximum profit?
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Luke found this treasure map to an Island which holds a big chunk of treasure. He figured out the route to the place, but the rules to be followed to reach there and come back with the money confused him.
Here are the items to be noted to reach the treasure and come back with money:
1. He need to cross 5 different rivers. Boats are available to cross these rivers, but each boat man will take half of the total money that is with him at the moment.
2. Once he crossed all 5 rivers and reached the treasure island, the islanders will allow him to take the treasure in terms of Dollars ($$), but the total amount he can take back from the island cannot be more than 1 Million Dollars (inclusive of the money he has with him at the moment). For E.g. if he has $100,000 with him at the moment, he can take only $900,000 from the island.
3. To reach back to his place, he needs to cross those 5 rivers back and pay fees to the boat men in the same manner as mentioned in 1.
So, the questions here is:
A -- What is the Maximum profit Luke can ever bring home from the Island?
B -- How much money he should take from home to bring the maximum profit?
Good luck, and peace!
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