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2021 MOAA
4
Speed P4
Speed P4
Source:
October 16, 2021
MOAA 2021
speed
algebra
inequalities
Problem Statement
Let
a
a
a
,
b
b
b
, and
c
c
c
be real numbers such that
0
≤
a
,
b
,
c
≤
5
0\le a,b,c\le 5
0
≤
a
,
b
,
c
≤
5
and
2
a
+
b
+
c
=
10
2a + b + c = 10
2
a
+
b
+
c
=
10
. Over all possible values of
a
a
a
,
b
b
b
, and
c
c
c
, determine the maximum possible value of
a
+
2
b
+
3
c
a + 2b + 3c
a
+
2
b
+
3
c
.Proposed by Andrew Wen
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