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1. A shoe salesman in Berkeley, California once told me I shouldn't wear the new shoes he was selling me every day, or even wear them every other day: "You can double the lifetime of your shoes by wearing them only every third day," he told me confidently. Give two different interpretations of what the salesman meant; explain why, under the first interpretation, his advice was good advice, and why, under the other interpretation, his advice was bad advice.
2. A short obituary in the December 5, 2005 issue of The New Yorker (p. 40) read as follows:
For how many years did William court Cecille before marrying her? Express your answer as a range, in the form "More than X years but less than Y years''. Make the range as narrow as possible, given the information you have, but no narrower than logic permits you to conclude.
3. Roger and Rhonda plan to have a child together. Her menstrual cycle
typically lasts 25 to 29 days, and ovulation occurs on day 12, 13, or 14
of her cycle. Rhonda wants Roger to be at home during each cycle on the day
of her ovulation. If Rhonda's last cycle began on July 22 (Day 1), should
Roger plan to take a business trip in the last half of September? If he
absolutely needs to take the trip, what are the days in late September
when he must make sure to be at home?
Note: You must indicate whom you worked on the assignment with
(if you worked alone, indicate that you worked alone) and how long you
spent on the assignment.