A dietician wishes to mix two types of foods `f_(1)` and `f_(2)` in such a way that the vitamin contents of the mixture contain atleast "6"units of vitamin A and "8"units of vitamin B. Foof `f_(1)` contains "2"units/kg of vitamin A and "3"units/kg of vitamin B while foof `f_(2)` contains "3"units/kf of vitamin A and "2"units/kg of vitamin B. Food `f_(1)` costs Rs "50"per kg and food `f_(2)` costs Rs "75"per kg. Formulate the problem as an LPP to minimise the cost of mixture. (Diet Problem)

Answer

Hence, minimum cost of the mixture will be ₹ 150 at the line segment joining the points A(3,0) and B `((12)/(5) ,2/5)`