One kind of cake requires 100 gm of flour and 50 gm of fat and another kind of cake requires 50 gm of flour and 100 gm of fat. Find the maximum number of cakes that can be made from 4 kg of flour and 5 kg of fat. Form a linear programming problem and solve it graphically.

One kind of cake requires 300 gm of flour and 15 gm of fat and another kind of cake requires 150 gm of flour and 30 gm of fat. Find the maximum number of cakes that can be made from 7.5 kg of flour and 600 gm of fat. Form a linear programming problem and solve it graphically.

One kind of cake requires 200g of flour and 25g of fat, and another kind of cake requires 100g of flour and 50g of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.

If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per km on petrol, if he rides at a faster speed of 40 km/hr, the petrol cost increases to Rs 5 perkm. He has Rs 100 to spend on petrol and wishes to find maximum distance he can travel within one hour. Express this as a linear programming problem and then solve it graphically.

A man rides his motorcylcle at the speed of 50 km/hour. He has to spend Rs.2 per km on petrol. If the rides it as a faster speed of 80 km/hour, the petrol cost increases to Rs.3 per km. he has atmost Rs.120 to spend on petrol and one hour's time, He wishes to find the maximum distance that he can travel Express this problem as a linear programming problem and solve it graphically to find the maximum distance he can travel.

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.

Kellogg is a new cereal formed of a mixture of bran and rice that contians atleast 88 gm of protein and atleast 36 miligram of iron per kg. Knowing that bran contains 80 gm of protein and 40 miligram of iron per kilogram, and that rice contains 100 gm of protein and 30 miligram of iron per kilogram, find the minimum cost of producing this new cereal if bran costs Rs.5 kilogram and rice costs Rs. 4 per kilogram.

Every gram of wheat provides 0.1 g of protien and 0.25 g of carbohydrates. The corresponding values for rice are 0.05 g and 0.5 g respectively. Wheat costs Rs 4 per kg and rice Rs 6 per kg. The minimum daily requirements of protien and carbohydrates for an average child are 50 g and 200 g respectively. In what quantities should wheat and rice be mixed in the daily diet so as to provide the maximum daily requirements of protien and carbohydrates at minimum cost? Frame a LPP and solve it graphically.

Observe the patterns of digits made form line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators. How many segments are required to from 5, 10, 100 digits of the kind 8?

Observe the patterns of digits made form line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators. How many segments are required to from 5, 10, 100 digits of the kind 6, 4, 8?

Observe the patterns of digits made form line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators. How many segments are required to from 5, 10, 100 digits of the kind 6, 4, 8?