each medical kit will aid 6 people. Each plane can carry no more than 80,000 pounds. The bottled water weighs 20 pounds per container and each medical kit weighs 10 pounds. Each plane can carry a total volume of supplies that does not exceed 6000 cubic feet. Each water bottle is 1 cubic foot and each medical kit also has a volume of 1 cubic foot.   Thus, the maximum value of z is 36000 and this occurs when x = 0and y = 6000. In practical terms, this means that the maximum number of earthquake survivors who can be helped with each plane shipment is 36000. This can be accomplished by sending 6000 medical kits. A) True B) False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Bottled water and medical supplies are to be shipped to survivors of
an earthquake by plane. Each container of bottled water will serve 10 people and each
medical kit will aid 6 people. Each plane can carry no more than 80,000 pounds. The bottled
water weighs 20 pounds per container and each medical kit weighs 10 pounds. Each plane
can carry a total volume of supplies that does not exceed 6000 cubic feet. Each water
bottle is 1 cubic foot and each medical kit also has a volume of 1 cubic foot.

 

Thus, the maximum value of z is 36000 and this occurs when x = 0and y = 6000.
In practical terms, this means that the maximum number of earthquake survivors who
can be helped with each plane shipment is 36000. This can be accomplished by
sending 6000 medical kits.
A) True
B) False

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