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6
2015 Algebra #6: Another Maximization Problem
2015 Algebra #6: Another Maximization Problem
Source:
March 28, 2015
algebra
number theory
maximization
Problem Statement
Let
a
,
b
,
c
,
d
,
e
a,b,c,d,e
a
,
b
,
c
,
d
,
e
be nonnegative integers such that
625
a
+
250
b
+
100
c
+
40
d
+
16
e
=
1
5
3
625a+250b+100c+40d+16e=15^3
625
a
+
250
b
+
100
c
+
40
d
+
16
e
=
1
5
3
. What is the maximum possible value of
a
+
b
+
c
+
d
+
e
a+b+c+d+e
a
+
b
+
c
+
d
+
e
?
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