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Problems
Contests
National and Regional Contests
Austria Contests
Austrian MO National Competition
1989 Federal Competition For Advanced Students
1
maximum value
maximum value
Source: Austria 1989
July 10, 2009
number theory proposed
number theory
Problem Statement
Natural numbers
a
≤
b
≤
c
≤
d
a \le b \le c \le d
a
≤
b
≤
c
≤
d
satisfy a\plus{}b\plus{}c\plus{}d\equal{}30. Find the maximum value of the product P\equal{}abcd.
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