Amy, Jim, John, and Kelly are standing on the east bank of a river and wish to cross to the west side using a canoe. The canoe can hold at most two people at a time. Amy, being the most athletic, can row across the river in 1 minute. Jim, John, and Kelly would take 3, 6, and 9 minutes, respectively. If two people are in the canoe, the slower person dictates the crossing time. The objective is for all four people to be on the other side of the river in the shortest time possible. (a) Define the criterion for evaluating the alternatives (remember, the canoe is the only mode of transportation, and it cannot be shuttled empty). *(b) What is the shortest time for moving all four people to the other side of the river?
Amy, Jim, John, and Kelly are standing on the east bank of a river and wish to cross to the west side using a canoe. The canoe can hold at most two people at a time. Amy, being the most athletic, can row across the river in 1 minute. Jim, John, and Kelly would take 3, 6, and 9 minutes, respectively. If two people are in the canoe, the slower person dictates the crossing time. The objective is for all four people to be on the other side of the river in the shortest time possible. (a) Define the criterion for evaluating the alternatives (remember, the canoe is the only mode of transportation, and it cannot be shuttled empty). *(b) What is the shortest time for moving all four people to the other side of the river?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Amy, Jim, John, and Kelly are standing on the east bank of a river and wish to cross
to the west side using a canoe. The canoe can hold at most two people at a time. Amy,
being the most athletic, can row across the river in 1 minute. Jim, John, and Kelly would
take 3, 6, and 9 minutes, respectively. If two people are in the canoe, the slower person
dictates the crossing time. The objective is for all four people to be on the other side of
the river in the shortest time possible.
(a) Define the criterion for evaluating the alternatives (remember, the canoe is the only
mode of transportation, and it cannot be shuttled empty).
*(b) What is the shortest time for moving all four people to the other side of the river?
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