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Linear Inequalities
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© examsnet.com
Question : 19 of 54
Marks:
+1
,
-0
Vitamins
A
and
B
are found in food
F
1
and
F
2
.
One unit of
F
1
contains 20 units of vitamin
A
and 30 units of vitamin B. One unit of food
F
2
, contains 60 units of
A
and 40 units of B. Costs per unit of
F
, and
F
2
are
₹
3
and
₹
4
respectively. The minimum daily requirement of vitamin
A
and
B
is 80 and 100 units respectively. Problem is to determine the mixture of food
F
1
and
F
2
,
which meets the requirement at minimum cost by assuming that
x
1
units of food
F
1
and
X
2
units of food
F
2
are required to fulfill the need of vitamins. The constraints are
20
x
1
+
60
x
2
≥
80
30
x
1
+
40
x
2
≥
100
x
1
≥
0
;
x
2
≥
0
20
x
1
+
60
x
2
≤
80
30
x
1
+
40
x
2
≥
100
x
1
≥
0
;
x
2
≥
0
20
x
1
+
60
x
2
≥
80
30
x
1
+
40
x
2
≤
100
x
1
≥
0
;
x
2
≥
0
None of these.
Validate
Solution:
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