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Byju's Answer
Standard XII
Mathematics
Types of Linear Programing Problems
Minimize Z ...
Question
Minimize
Z
=
7
x
+
y
subject to
5
x
+
y
≥
5
,
x
+
y
≥
3
,
x
≥
0
,
y
≥
0
.
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Solution
The intersection point of
5
x
+
y
=
5
and
x
+
y
=
3
is
(
0.5
,
2.5
)
The shaded region shows feasible area according to given constraints.
Value of
Z
at
A
=
7
×
0
+
5
=
5
Value of
Z
at
B
=
7
×
3
+
0
=
21
Value of
Z
at
E
=
7
×
0.5
+
2.5
=
6
Hence, minimum value of
Z
subject to given constraints is
5
.
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0
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