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Test Index
Army Group X Practice Set 3
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© examsnet.com
Question : 67 of 70
Marks:
+1
,
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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
x
x
and
y
y
y
are the number of table andchairs respectively.
m
a
x
Z
=
250
x
+
75
y
max Z=250x+75y
ma
x
Z
=
250
x
+
75
y
Subject constrains
2500
x
+
500
y
≤
500000
,
2500x+500y \leq 500000,
2500
x
+
500
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
x+y \leq 60 \text{ and } x \geq 0, y \geq 0
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
m
a
x
Z
=
25000
x
+
500
y
max Z=25000x+500y
ma
x
Z
=
25000
x
+
500
y
Subject constrains
250
x
+
75
y
≤
500000
,
250x+75y \leq 500000,
250
x
+
75
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
x+y \leq 60 \text{ and } x \geq 0, y \geq 0
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
m
a
x
Z
=
75
x
+
250
y
max Z=75x+250y
ma
x
Z
=
75
x
+
250
y
Subject constrains
25000
x
+
500
y
≤
500000
,
25000x+500y \leq 500000,
25000
x
+
500
y
≤
500000
,
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
x+y \leq 60 \text{ and } x \geq 0, y \geq 0
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
None of the above
Validate
Solution:
Mathematically form of LPP
m
a
x
Z
=
250
x
+
75
y
maxZ=250x+75y
ma
x
Z
=
250
x
+
75
y
Subject constraints
2500
x
+
500
y
≤
500000
2500x+500y \leq 500000
2500
x
+
500
y
≤
500000
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
x+y \leq 60 \text{ and } x \geq 0, y \geq 0
x
+
y
≤
60
and
x
≥
0
,
y
≥
0
© examsnet.com
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