The cost of `4 kg` onion, `3 kg` wheat and `2 kg` rice is `Rs. 60` . The cost of `2 kg` onion, `4 kg` wheat and `6kg` rice is `Rs. 90` . The cost of `6 kg` onion, `2 kg` wheat and `3 kg` ricę is `Rs. 70` . Find cost of each item per kg by matrix method.

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs.60.The cost of 2 kg onion,4 kg wheat and 6 kg rice is Rs. 90. The cost of 6 kg onion,2 kg wheat and 3 kg rice is Rs.70. Find the cost of each item per kg by matrix method.

A dietician wishes to mix two kinds of food X and Y in such a way that the mixture contains atleast 10 units of vitamin A, 12 units of vitamin B and 8 units of vitamin C. The vitamin contents of one kg food is given below : One kg of food X cost Rs. 16 and one kg of food Y costs Rs. 20. Find the least cost of the mixture which will produce the required diet ?

There are two types of fertilisers F_1 and F_2, F_1 consists of 10% nitrogen and 6% phosphoric acid and F_2 consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions , a farmer finds that she needs atleast 14kg of nitrogen and 14kg of phosphoric acid for her crop. If F_1 costs Rs. 6/(kg) and F_2 costs Rs. 5/(kg) , determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost , What is the minimum cost ?