Question: A commanding officer (CO) has been tasked to move the battalion out into the field for a major exercise. The CO has been informed that

A commanding officer (CO) has been tasked to move the battalion out into the field for a major exercise. The CO has been informed that only a maximum of 100 vehicles is allowed, each to be used for a single round trip. There are two types of vehicles available to the CO, a Mack vehicle that can carry 24 m3 and a Mercedes vehicle that can carry 16 m3. The Mack vehicle is estimated to use 50 L of fuel on a round trip, whereas the Mercedes vehicle will only use 25 L of fuel per round trip. The battalion has a total of 4000 L of fuel available. The vehicles will require maintenance after each round trip; each Mack vehicle requires 3 h and each Mercedes 9 h. The maintenance squadron has 720 h available. To move a maximum amount of cubic meters, what mix of Mack and Mercedes vehicles should the CO choose?.

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