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During a war, allies sent food and medical kits to help survivors. Each food kit helped 6 people and each medicine kit helped 4 people.

During a war, allies sent food and medical kits to help survivors. Each food kit helped 6 people and each medicine kit helped 4 people. Each plane could carry no more than 50 comma 000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds. In addition to the weight constraint on its cargo, each plane could carry a total volume of supplies that did not exceed 4000 cubic feet. Each food kit was 1 cubic foot and each medical kit also had a volume of 1 cubic foot. Assume that those helped by medicine kits were not helped by the food kits and vice versa. What was the maximum number of people that could be helped with one plane of supplies

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