12. A horticulturist wishes to mix two brands fertilisers,
that will provide a minimum of 15 units of potash,
20 units of nitrate and 24 units of phosphate. One unit
of brand I provides 3 units of potash, 1 unit of nitrate
and 3 units of phosphate. It costs 120 per unit. One
unit of brand II provides 1 unit of potash, 5 units of
nitrate and 2 units of phosphate. It costs 60 per unit.
Formulate the problem as LPP to minimize the cost.
Answers
Answer:
Answer:
- jo bhi hoga sab acha hoga bhagwan bharose chod do
- iska matlab yeh nhi ki khud mehnat mat kro
- tumhe bhi mehnat krni h
Given : A horticulturist wishes to mix two brands fertilisers, that will provide a minimum of 15 units of potash, 20 units of nitrate and 24 units of phosphate.
One unit of brand I provides 3 units of potash, 1 unit of nitrate and 3 units of phosphate. It costs 120 per unit.
One unit of brand II provides 1 unit of potash, 5 units of nitrate and 2 units of phosphate. It costs 60 per unit.
To Find : Formulate the problem as LPP to minimize the cost.
Solution:
X , Y ≥ 0
X = 1st brand
Y = 2nd Brand
3X + Y ≥ 15
X + 5Y ≥ 20
3X + 2Y ≥ 24
Cost = 120X + 60Y
Critical Point
( 0 , 15) , ( 2 , 9) , ( 80/13 , 36/13) , (20 , 0)
X Y 120X + 60Y
0 15 900
2 9 780
20 0 2400
80/13 36/13 904
Brand 1 = 2
Brand 2 = 9
Minimum Cost = 780
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