Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For the constraints
x
+
y
≥
3
,
2
x
+
y
≥
4
,
x
≥
0
,
y
≥
0
x + y \ge 3,\; 2x + y \ge 4,\; x \ge 0,\; y \ge 0
x
+
y
≥
3
,
2
x
+
y
≥
4
,
x
≥
0
,
y
≥
0
, consider the objective function
Z
=
k
x
+
y
Z = kx + y
Z
=
k
x
+
y
to be minimised, where
k
k
k
is a real parameter. Determine all values of
k
k
k
for which a finite minimum value of
Z
Z
Z
exists.
Browse the problem library