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

Two different kinds of foods A and B are being considered to form a weekly diet. The minimum weekly requirment of fats, carbohydrates and proteins are 17,28 and 14 units respectively. One kg of food A has 5 units of fat, 12 units of carbohydrates and 7 units of protein. One kg of food B has 7 units of fat, 15 units of carbohydrates and 9 units of protein. The price of food A is Rs. 5 per kg. and that of food B is Rs. 7 per kg. Form the LPP to minimize the cost.

Vitamins A and B are found in two different foods F_1 \ a n d \ F_2 . One unit of food F_1 contains 2 units of vitamin A and 3 units of vitamin B. One unit of food F_2 contains 4 units of vitamin A and 2 units of vitamin B. One unit of food F_1 \ a n d \ F_2 cost Rs. 50 and 25 respectively. The minimum daily requirements for a person of vitamin A and B is 40 and 50 units respectively. Assuming that anything in excess of daily minimum requirement of vitamin A and B is not harmful, find out the optimum mixture of food F_1 \ a n d \ F_2 at the minimum cost which meets the daily minimum requirement of vitamin A and B. Formulate this as a LPP.

A diet for a sick person must contain atleast 4000 units of vitamin, 50 units of minerals and 1400 units of calories. Two foods A and B are available at a cost of Rs.5 and Rs.4 per unit respectively. One unit of food A contains 200 units of vitamin, 1 unit of minerals and 40 units of calories, while one unit of food B contains 100 units of vitamins, 2 units of minerals and 40 units of calories. find what combination of food A and B should be used to have least cost, but it must satisfy the requirements of the sick person? form the question as an LPP and solve it graphically.

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. 5 and Rs. 4 per unit respectively. One unit of food A contains 200 units of vitamins, 1 unit of minerals and 40 units of calories whereas one unit of food B contains 100 units of vitamins, 2 units of minerals and 40 units of calories. Find what combination of the food A and B should be used to have least cost but it must satisfy the requirements of the sick person.

A factory uses three different resources for the manufacture of two different productoof the resource A, 12 units of B and 16 unit of C being available. One unit of there quires 2, 2 and 4 units of the respective resources and one unit of the second requires 4,2 and 0 units of respective resources. It is known that the first product givesatof 2 monetary units per unit and the second 3. Formulate the linear programming problem How many units of each product should be manufactured for maximizing the profit? solve it graphically.

One kg of food X contains 6 units of Vitamin A and 7 units of Vitamin B. One kg of food Y contains 8 units of Vitamin A and 12 units of Vitamin B. Cost of each kg of food X and food Y are Rs. 12 and Rs. 20 respectively. The daily minimum requirement of Vitamin A and Vitamin B are 100 units and 120 units respectively. How much food X and food Y are to be mixed so that the cost will be minimum? Formulate the problem as a linear programming problem.