A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional element A, 11.25 units of element B and 3 units of element C. The minimum requirements of nutrients A,B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?

Food X contains 6 units of vitamin A per g and 7 units of vitamin B per g and costs Rs 2 per g. Food Y contains 8 units of vitamin A per g and food Y contains 8 units of vitamin A per g and 12 units of vitamin B per g and costs Rs 2.50 per g. The daily minimum requirement of vitamin A and vitamin B are 100 units and 120 uniys respectively. Formulate the above as a LPP to minimize the cost.

Let A and B be two sets containing 3 and 4 elements respectively. The number of functions from A to B is :

If A and B two sets containing 2 elements and 4 elements, respectively. Then, the number of subsets of A xx B having 3 or more elements, is

Let A and B be too sets containing four and two elements respectively then the number of subsets of set AxxB having atleast 3 elements is

(Diet problem)A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) 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 calcium, 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?

An atom of element E contains 3 protons, 3 electrons and 4 neutrons : What could element E be