A chemical company produces a chemical containing three basic elements A, B, C, so that it has at least 16 litres of A, 24 litres of B and 18 litres of C. This chemical is made by mixing two compounds. Each unit of compound I, has 4 litres of A, 12 litres of B and 2 litres of C. Each unit of compound II, has 2 litres of A, 2 litres of B and 6 litres of C. The cost per unit of compound I is ₹800 and that of compound II is ₹640. Formulate the problems as LPP and solve it to minimize the cost.
Answers
Given : A chemical company produces a chemical containing three basic elements A, B, C, so that it has at least 16 litres of A, 24 litres of B and 18 litres of C.
To find : Formulate the problems as LPP and solve it to minimize the cost.
Solution:
compound 1 - x
compound 2 - y
A = 4x + 2y ≥ 16
=> 2x + y ≥ 8
B = 12x + 2y ≥ 24
=> 6x + y ≥ 12
C = 2x + 6y ≥ 18
=> x + 3y ≥ 9
Cost = 800x + 640 y
2x + y ≥ 8
6x + y ≥ 12
x + 3y ≥ 9
x y 800x + 640 y
1 6 4640
3 2 3680
3 unit of compound 1 & 2 unit of compound B
Minimum cost = 3680
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Answer:
Step-by-step explanation:
Prepositemical company produces a chemical containing three basic elements A, B, C, so that it has at least 16 litres of A, 24 litres of B and 18 litres of C. This chemical is made by mixing two compounds. Each unit of compound I, has 4 litres of A, 12 litres of B and 2 litres of C. Each unit of compound II, has 2 litres of A, 2 litres of B and 6 litres of C. The cost per unit of compound I is ₹800 and that of compound II is ₹640. Formulate the probional is ur answer