An animal feed company must produce 200`kg` of a mixture consisting of ingredients A and B. The-ingredient A costs Rs.3 per `kg` and B costs 5 per `kg`. No more than 80 `kg` of A can be uséd and at least 60 `kg` of B must be used. Formulate the problem to minimise thé cost of mixture.

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)

Two types of food X and Y re mixed to prepare a mixture is such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin X. These vitamines are avialalbe in 1kg of food as per table below. 1kg of food X costs Rs 16 and 1kg of food Y costs Rs 20. Formulate the L. P. P. so as to determine the least cost of the mixture containing the required amound of vitamins.

A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1400 units of calories. Two foods A and B, are available at a cost of Rs.4 and Rs. 3 per unit respectively. If one unit of A contains 200, units of vitamin, 1 unit of mineral and 40 calories and one units of B contains 100 units of vitamins, 2 units of minerals and 40 calories. Formulate the LPP to minimize the cost of foods.