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maximize z 4x 9y subject to the constralnts x 0 y
Question:
Maximize
Z
=
4
x
+
9
y
, subject to the constralnts
x
=
0
, y
=
0
,
x
+
5
y
≤
200
,
2
x
+
3
y
≤
134
.
MHT CET
Updated On:
Mar 28, 2026
(A) 359
(B) 856
(C) 382
(D) 756
Show Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Explanation:
Given:
Z
=
4
x
+
9
y
, subject to the constralnts
x
=
0
, y
=
0
,
x
+
5
y
≤
200
,
2
x
+
3
y
≤
134
.
The corner points of feasible region are
A
(
10
,
38
)
,
B
(
0
,
40
)
,
C
(
0
,
0
)
,
D
(
67
,
0
)
.The values of
Z
at the following polnts is
Corner Point
Z
=
4
x
+
9
y
A
(
10
,
38
)
382
Maximum
B
(
0
,
40
)
360
C
(
0
,
0
)
0
D
(
67
,
0
)
2
6
8
The maxlmum value of
Z
Is 382 at polnt
A
(
10
,
38
)
.Hence, the correct option is (C).
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