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The figure shows a feasible region with five… · Answer | StemPy Lab
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The figure shows a feasible region with five corners. Z = 4x + 3y is to be maximised. At which corner is Z the largest?
Mathematics
Medium
High School (11–12)
Algebra › Linear Programming
Board Exam
CUET UG
Created by
StemPy Lab
The figure shows a feasible region with five corners.
Z
=
4
x
+
3
y
Z = 4x + 3y
Z
=
4
x
+
3
y
is to be maximised. At which corner is
Z
Z
Z
the largest?
Fig. 1: A graph of a shaded five-sided region with corners at (0, 0), (7, 0), (5, 3), (2, 6) and (0, 4), each marked with a dot and its coordinates. All five corners are labelled.
(
2
,
6
)
(2, 6)
(
2
,
6
)
(
0
,
4
)
(0, 4)
(
0
,
4
)
(
7
,
0
)
(7, 0)
(
7
,
0
)
(
5
,
3
)
(5, 3)
(
5
,
3
)
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A triangle has corners (0, 0), (4, 0) and (0, 6). What is the minimum of Z = 3x - y over it? →
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