Question

Nikhil pesticide company must produce 200 kg mixture consisting of chemicals A and B daily. A cost ₹ 3 per kg and B cost ₹ 8 per kg. Maximum 80 kg of chemical A and atleast 60 kg, of chemical B should be used. Formulate L.P.P. model to minimize the cost.

Answer 1

Let the units of A be x and B be y maximum 80 kg of chemical A used x ≤ 80 

At least 60 kg of chemical B is used y ≥ 60 Company should produce 200 kg x + y ≤ 200 

Minimise z = 3x + 8y 

subject to the constraints 

X + y ≤ 200 

x ≤ 80, y ≥ 60 

x, y ≥ 0.