Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Maximise
Z
=
5
x
+
4
y
Z = 5x + 4y
Z
=
5
x
+
4
y
subject to
x
+
y
≥
4
,
x
+
2
y
≥
6
,
x
≥
0
,
y
≥
0
x + y \ge 4,\; x + 2y \ge 6,\; x \ge 0,\; y \ge 0
x
+
y
≥
4
,
x
+
2
y
≥
6
,
x
≥
0
,
y
≥
0
. State whether a finite maximum value of
Z
Z
Z
exists. If it does, write the maximum value; if it does not, state “No finite maximum”.
Browse the problem library