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Each year the marketing department of a local firm
sends out calendars to its principal customers. The calendars consist of
an advertisement for the company with the year number at the top and attached
to the advertisement, at the bottom, are the calendar sheets containing the
name of the month and the days of the week. At the end of 2000 when the marketing
department was preparing the 2001 calendars, the printer made them an offer
they couldn't refuse: he would reduce the unit price of the calendar sheets
by 25% if they ordered twice as many. The marketing department didn't send
out twice as many calendars but they bought twice as many, thinking that
they could use the surplus in a few years' time, when the days of the months
next matched the week days for 2001. Unfortunately, the calendar sheets contained
the national holidays printed on them - including the Easter holidays.
In 2001, the relevant days for the full moon and Easter
Sunday are 8 April and 15 April respectively. Given that the lunar year is
354 days long and that Easter falls on the first Sunday following the first
full moon after the vernal equinox, how long will the marketing department
have to store the surplus calendars before they can send them to
customers?
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