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Army Group X Practice Set 3
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© examsnet.com
Question : 67
Total: 70
A furniture dealer deals in only two items tables and chairs. He has ₹ 500000 to invest and a space to store at most 60 pieces. A table costs ₹ 2500.00 and chair ₹ 500.00. He can sell a table at a profit of ₹ 250.00 and a chair at a profit of ₹ 75.00. Assuming that he can sell all the items that he buys. How should he invest his money in order that he may maximise his profit? Write this LPP in mathematically form, if
x
and
y
are the number of table andchairs respectively.
max
Z
=
250
x
+
75
y
Subject constrains
2500
x
+
500
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
max
Z
=
25000
x
+
500
y
Subject constrains
250
x
+
75
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
max
Z
=
75
x
+
250
y
Subject constrains
25000
x
+
500
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
None of the above
Validate
Solution:
Mathematically form of LPP
max
Z
=
250
x
+
75
y
Subject constraints
2500
x
+
500
y
≤
500000
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
© examsnet.com
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