MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2016 India PRMO
10
10
Part of
2016 India PRMO
Problems
(1)
2016 preRMO p10, [M], M is max of (6x-3y-8z) when 2x^2+3y^2+4z^2 = 1
Source:
8/9/2019
Let
M
M
M
be the maximum value of
(
6
x
−
3
y
−
8
z
)
(6x-3y-8z)
(
6
x
−
3
y
−
8
z
)
, subject to
2
x
2
+
3
y
2
+
4
z
2
=
1
2x^2+3y^2+4z^2 = 1
2
x
2
+
3
y
2
+
4
z
2
=
1
. Find
[
M
]
[M]
[
M
]
.
algebra
floor function
maximum