Reshma wishes to mix two types of food `P` and `Q` in such a way that the vitamin contents of the mixture contain at leat 8 units of vitamin A and 11 units of vitamin B. Food `P` cost Rs. 60/kg and Food `Q` costs Rs. 80/kg. Food `P` contains 3 units/kg of vitamin A and 5 units/kg of Vitamin B while food `Q` contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

Answer

Min.cost = ₹ 160 at all points lying on the line segment joining `((8)/(3),0)` and `(2, (1)/(2))`.