MathDB
Problems
Contests
National and Regional Contests
Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2005 Bosnia and Herzegovina Junior BMO TST
1
1
Part of
2005 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
min max of w = 2x − 3y + 4z when 3x + 5y + 7z = 10 and x + 2y + 5z = 6
Source: 2005 Bosnia & Herzegovina JBMO TST p1
5/27/2020
Non-negative real numbers
x
,
y
,
z
x, y, z
x
,
y
,
z
satisfy the following relations:
3
x
+
5
y
+
7
z
=
10
3x + 5y + 7z = 10
3
x
+
5
y
+
7
z
=
10
and
x
+
2
y
+
5
z
=
6
x + 2y + 5z = 6
x
+
2
y
+
5
z
=
6
.Find the minimum and maximum of
w
=
2
x
ā
3
y
+
4
z
w = 2x - 3y + 4z
w
=
2
x
ā
3
y
+
4
z
.
min
max
algebra
inequalities