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Mathematics
Mathematics
Problem
Let the feasible region be defined by
x
≥
y
≥
0
x \ge y \ge 0
x
≥
y
≥
0
. Consider the objective function
Z
=
k
x
+
y
Z = kx + y
Z
=
k
x
+
y
. For which values of
k
k
k
does the maximisation of
Z
Z
Z
yield an unbounded (infinite) maximum value? a)
k
≥
−
1
k\ge -1
k
≥
−
1
b)
k
<
−
1
k<-1
k
<
−
1
c)
k
>
−
1
k>-1
k
>
−
1
d)
k
>
0
k>0
k
>
0
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