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2 [ 125 points] Much of the QNBRC business is carrying fuel from the refineries in Montral and distributing it to other cities in Eastern

2 [ 125 points] Much of the QNBRC business is carrying fuel from the refineries in Montral and distributing it to other cities in Eastern Canada. QNRBC carries three types of fuel: crude oil, gasoline, and liquefied natural gas (LNG). As a shipping manager, you have to determine the cargo that one of the trains will contain. Each railway car full of crude oil weighs 4 thousand tonnes, requires 5 labour-hours of handling, and generates $10 thousand in profits. Each car full of gasoline weights 2 thousand tonnes, requires 5 labour-hours of handling, and generates $8 thousand in profits. Finally, each car full of LNG weighs 4 thousand tonnes, requires 10 labour-hours of handling, and generates $15 thousand in profits. If the length of the train cannot exceed 100 railway cars, the weight of the train cannot exceed 300 thousand tonnes, and a maximum of 650 labour-hours are available for handling, how many cars of each kind of fuel should the train contain in order to maximize profits

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