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A student finds the two corners (5, 0) and (0… · Answer | StemPy Lab
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A student finds the two corners (5, 0) and (0, 5) of the region x + y ≥ 5, x ≥ 0, y ≥ 0. The student wants to minimise Z = x + 2y. What is the correct conclusion?
Mathematics
Medium
High School (11–12)
Algebra › Linear Programming
Board Exam
CUET UG
Created by
StemPy Lab
A student finds the two corners
(
5
,
0
)
(5, 0)
(
5
,
0
)
and
(
0
,
5
)
(0, 5)
(
0
,
5
)
of the region
x
+
y
≥
5
x + y \ge 5
x
+
y
≥
5
,
x
≥
0
x \ge 0
x
≥
0
,
y
≥
0
y \ge 0
y
≥
0
. The student wants to minimise
Z
=
x
+
2
y
Z = x + 2y
Z
=
x
+
2
y
. What is the correct conclusion?
The minimum is
0
0
0
, at the origin
There is no minimum, because the region is unbounded
The minimum is
10
10
10
, at
(
0
,
5
)
(0, 5)
(
0
,
5
)
The minimum is
5
5
5
, at
(
5
,
0
)
(5, 0)
(
5
,
0
)
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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? →
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Algebra › Linear Programming
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