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