Speculating Prices

You intend to advance your career as a car dealer. However, as of right now, you just have a room in your garage for exactly one car.

Now, you want to make the maximum profit in a period of ten days by buying and selling a new model at the market. Your assistant has predicted that the market price of the car shall vary as follows:

Day12345678910
Price117109131410151210

What is the maximum profit you can make?

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Details and Assumptions:

  • There is no other hidden cost than the market prices listed above.
  • You can only buy and sell at the market prices. The difference is the profit.
  • You can hold at most one car in the garage at a time.
  • You can perform at most one transaction in one day.

Inspired by IARCS
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