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

Answer

mixture will be Rs 160 at the line segment joining the point ` A ((8)/(3),0) " and " B (2,(1)/(2)) ` .