The owner of a milk store finds that he can sell 980 litres of milk each week at Rs. 14/litre and 1220 litres of milk each week at Rs. 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs.17/litre.

A bottle can hold (3)/(4) litre of milk. How many litres of milk is there in 7 such bottles?

If three litres of milk is equally divided among four persons, how much would each get?

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5760 to invest and has space for at most 20 items. A fan costs him Rs. 360 and a sewing a machine Rs. 240. His expectation is that he can sell a fan at a profit Rs. 22 and a sewing machine at a profit of Rs. 18 . Assuming that he can sell all the items that he can buy,how should he invest his money in order to maximise the profit? Formulate this as a linear programming problem and solve graphically.

A firm deals with two kinds of fruit juices-pineapple and the, orange juice. These are mixed and two types of mixtures are obtained which is sold as soft drinks A and B , One tin of A need 4 litres of pineapple juice and 1 litre of orange juice. One tin of B needs 2 litres of pineapple and 3 litres of oranges juice. The firm has only 46 litres of pineapple juice and 24 litres of orange jụice. Each tin of A and B is sold at a profit of Rs. 4 /- and Rs. 3 /-respectively. How many tins of A and B should the firm produce to maximise profiț? Formulate the linear programming problem and solve it graphically.

A factory manufactures two types of screws, A and B . Each type of screw requires the two machines, an automatic and a hand operated.It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screw A at a profit of Rs 7 and screws B at a profit of Rs 10 . Assuming that he can sell all the screws he manufactures, how many packages of eách type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit.

Write the answer to the questions below in decimal form. 3 litres of milk is used to fill 8 identical bottles. How much does each bottle contain?

There are some cans, each containing 5 litres of milk. The milk in each vessel is used to fill 6 identical bottles. i) How much milk is there in each bottle?. ii) How much milk in 3 such bottles? iii) In 12 bottles?

A person deals only two items,Cycles and scooters.He has Rs.1,20,000 to invest and a space to store at most 38 pieces.One scooter costs him Rs.12000 and a cycle costs him Rs.800.He can sell a scooter at a profit of Rs.1500 and a cycle at a profit of Rs.200.Assuming that he can sell all the items he buys,how should he invest his money in order that he may maximum his profit.Formulate the problem mathematically.

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs.5 and that from a shade is Rs.3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?

Manikuttan supplies milk to the society each day. Last week, he supplied 56 litres in all. How much did he give each day of this week on average?