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A region has corners (0, 0), (6, 0), (6, 2)… · Answer | StemPy Lab
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A region has corners (0, 0), (6, 0), (6, 2), (3, 5) and (0, 5). The objective is Z = x + y, to be maximised. Which statement is correct?
Mathematics
Hard
High School (11–12)
Algebra › Linear Programming
Board Exam
BITSAT
CUET UG
Created by
StemPy Lab
A region has corners
(
0
,
0
)
(0, 0)
(
0
,
0
)
,
(
6
,
0
)
(6, 0)
(
6
,
0
)
,
(
6
,
2
)
(6, 2)
(
6
,
2
)
,
(
3
,
5
)
(3, 5)
(
3
,
5
)
and
(
0
,
5
)
(0, 5)
(
0
,
5
)
. The objective is
Z
=
x
+
y
Z = x + y
Z
=
x
+
y
, to be maximised. Which statement is correct?
The maximum is
8
8
8
at
(
6
,
2
)
(6, 2)
(
6
,
2
)
only
The maximum is
8
8
8
, reached at
(
6
,
2
)
(6, 2)
(
6
,
2
)
and
(
3
,
5
)
(3, 5)
(
3
,
5
)
and at every point between them
The maximum is
8
8
8
at
(
3
,
5
)
(3, 5)
(
3
,
5
)
only
The maximum is
11
11
11
at
(
6
,
5
)
(6, 5)
(
6
,
5
)
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← A student says that Z = x + 2y is largest at the corner (0, 5) of the region x + y ≥ 5, x ≥ 0, y ≥ 0, because Z = 10 there. Is the student right?
A student wants to maximise 3x + 2y with the rules x + y ≥ 4 and x + 3y ≤ 12 using linprog, with x, y ≥ 0. Which call is right? →
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