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Given an aircraft that must
visit a sequence of cities,
price of fuel in each city, and
amount of fuel needed to fly from city to city, and
additional fuel burned to carry additional fuel,
How much fuel should be bought at each city?
Qualitatively, we want to buy fuel at the cheap stops,
and ferry fuel into the stops where fuel is expensive;
Additional complications might be: city specific
landing and takeoff weight limits that are city specific,
nonlinear fuel burn curves,
nonlinear fuel purchase schedules at an airport,
e.g., there might be a fixed cost of refueling;