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max of abc if a+2b+3c=100, a,b,c\in N* (HOMC 2011 Q5)
max of abc if a+2b+3c=100, a,b,c\in N* (HOMC 2011 Q5)
Source:
July 25, 2019
algebra
maximum
inequalities
Problem Statement
Let
a
,
b
,
c
a, b, c
a
,
b
,
c
be positive integers such that
a
+
2
b
+
3
c
=
100
a + 2b +3c = 100
a
+
2
b
+
3
c
=
100
. Find the greatest value of
M
=
a
b
c
M = abc
M
=
ab
c
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