Animals in an experiment are to be kept on a strict diet. Each animal is to among other things 20g of protein and 6g of fat. The laboratory technicians purchased two food mixes. A and B. Mix A has 10% protein and 6% fat. Mix B has 20% protein and 2% fat. How many grams of each mix should be used?

Animals in an experiment are to be kept on a strict diet. Each animal is to receive among other things 20g of protein and 6g of fat. The laboratory technicians purchased two food mixes, A and B. Mix A has 10% protein and 6% fat. Mix B has 20% protein and 2% fat. How many grams of each mix should be used?

A farmer has a supply of chemical fertilizer of type A which contains 10 % nitrogen and 6% phosphoric acis and type B fertilizer which contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition of a field, it is found that at least 14 kg of nitrogen and 14 kg of phosphoric acid are required for a good crop. The fertilizer type A costs Rs 5 per kg and type B Rs 3 per kg. How many kilograms of each fertilizer should be used to meet the requirements and the cost be minimum? Using LPP, solve the above problem graphically.

(Allocation Problem)A farmer has a supply of chemical fertilizer and type I which contains 10% nitrogen and 6% phospheric acid and type II fertilizer which contains 5% nitrogen and 10% phospheric acid. After testing the soil condition of a field, it is found that at least 14 kg of nitrogen and 14kg of phospheric acid are required for a good crop.The fertilizer type I costs ₹.2.00 per kg and the type II ₹ 3.00 per kg.How many kilograms of each fertilizer should be used to meet the requirements and the cost be minimum?

(Diet problem) A dietician has to develop a special diet using two foods P and Q . Each packet (containing 30g ) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calciums atleast 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the minimum amount of vitamin A? How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?

(Diet problem) A dietician has to develop a special diet using two foods P and Q . Each packet (containing 30g ) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calciums atleast 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimise the amount of vitamin A in the diet? What is the minimum amount of vitamin A? How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?

Assertion: Chlorella could serve as a potential source of food and energy. Reason: When dried, chlorella has 15% protein 45% fat, 10% carbohydrate, 20% fibre, and 10% minerlas and vitamins.