Jay and Ram are two friends in a class.Jay wanted to buy 4 pens and 8 notebooks,Ram wanted to buy 5 pens and 12 notebooks.Both of them went to a shop.The price of a pen and a notebook which they have selected was Rs.6 and rs. 10.Using matrix multiplication,find the amount required from each one of them.

Ramesh and Govind are two friends of a class.Ramesh wants to buy 5 pens and 7 notebooks,Govind wants to buy 3pens and 10 notebooks.Both of them went to a shop which they have selected was Rs.5 and Rs.12.Using matrix multiplicaton,find the amount required for each one of them.

Nina and Meena want to buy pens and books. Nina wants 2 pens and 5 books while Meena wants 6 pens and 8 books. They both go to a shop and buy them. When the shopkeeper gives them the pens and the books, Nina pays him Rs. 110 and Meena pays him Rs. 190. Find the prices of one pen and one book using matrices.

Two different kinds of food A and B are being considered to form a weekly diet . The minimum weekly requirements for fats , carbohydrates and protein are 18, 24 and 16 units respectively . One kg of food A has 4 , 16 , and 8 units respectively of these ingredients and one kg of food B has 12 ,4 and 6 units respectively The price of food A is Rs 6 per kg and that of food B is Rs 5 per kg. How many kg of each type of food should he buy per week to minimize the cost and meet his requirements . Formulate this LPP