Kg. per bag | ||
Brand P | Brand Q | |
Nitrogen | 3 | 3.5 |
Phosphoric acid | 1 | 2 |
Potash | 3 | 1.5 |
Chlorine | 1.5 | 2 |
Answer:
Let
the number of bags used for fertilizer brand P = x.
and
the number of bags used for fertilizer brand Q = y
The
contents of each unit of fertilizer brands P and Q are given below :
The
above L.P.P. is given as
Z
= 3x + 3.5y subject to the constraints x + 2y 240, 3x + 1.5y + 2y 310, x, y
L1
: x + 2y = 240 L2 : 3x + 1.5y = 270
Here
amount of nitrogen is minimum at H(40, 100)
From
the table it is clear that
No.
of bags of fertilizer bag P = 40
No.
of bags of fertilizer bag Q = 100
Also,
the minimum amount of nitrogen added = 470 kg.
Fertilizer
Phosphoric acid
Potash
Chlorine
Nitrogen
Brand P
1
3
1.5
3
Bran Q
2
1.5
2
3.5
Minimum Requirement
240
270
310
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