Finite Mathematics Quiz
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LINEAR MODELS AND SYSTEMS
Question 1
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In the linear programming problem: minimize
C
=
3
x
+
4
y
C = 3x + 4y
C
=
3
x
+
4
y
subject to
x
+
2
y
≥
8
x + 2y \geq 8
x
+
2
y
≥
8
,
2
x
+
y
≥
10
2x + y \geq 10
2
x
+
y
≥
10
,
x
≥
0
x \geq 0
x
≥
0
,
y
≥
0
y \geq 0
y
≥
0
, which statement about the optimal solution is correct?
A
The minimum occurs at
(
4
,
2
)
(4, 2)
(
4
,
2
)
with value
C
=
20
C = 20
C
=
20
B
The minimum occurs at
(
0
,
10
)
(0, 10)
(
0
,
10
)
with value
C
=
40
C = 40
C
=
40
C
The minimum occurs at
(
8
,
0
)
(8, 0)
(
8
,
0
)
with value
C
=
24
C = 24
C
=
24
D
The minimum occurs at
(
5
,
0
)
(5, 0)
(
5
,
0
)
with value
C
=
15
C = 15
C
=
15
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