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Story: Howard is satisfied with the price of the gin and tonic and now wishes to go and purchase it all. Because of the large quantities involved he is going to collect it with the Spruce Goose. Since the Spruce Goose is a gas guzzler he wants to determine the best way to go about it. Howard can pickup gin on its own, the tonic on its own, or any combination of the two in each trip, but must always return with a full load of cargo except on the final trip. Howard's start point is in Trinity Bay, Texas. The Gin pickup point is in Palm Coast, Florida. The tonic pickup point is in Port Stanley, Ontario. The return point is the start point. Facts: The start point is 1,318KM from the pickup point in Palm Coast, Florida. The start point is 1,889KM from the pickup point in Port Stanley, Ontario. The pickup point in Palm Coast, Florida is 1,443KM from the pickup point in Port Stanley, Ontario. The Spruce Goose holds 53,000L of fuel. The Spruce Goose holds 180,000KG of cargo. The Spruce Goose consumes 11L fuel per KM when empty. Every 1,000KG of cargo adds an extra 0.05L fuel consumption per KM. The Spruce Goose refuels completely when it lands anywhere. There is 72,000KG of gin total. There is 370,000KG of tonic total. The cargo must be taken in multiples of 1,000KG lots. The Spruce Goose must return to the start point with a full 180,000KG load at the end of each trip except on the final trip. Every time the Spruce Goose returns to the start point it is completely unloaded. Only fuel consumed while in flight needs to be calculated. Do not account for the weight of the fuel. Do not account for Howard's weight. In this fictional scenario Howard is still alive, the Spruce Goose holds this much cargo and could easily make this journey. Question: What is the minimum fuel the Spruce Goose can consume to achieve this task? Answer format: If you calculate 123,456.789L of fuel enter in 123456.789 |