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 furniture dealer deals only in two items - tables and chairs. He has Rs. 5000 to invest and a space to store at most 60 pieces. A table costs him Rs. 250 and a chair Rs. 50 . He can sell a table at a profit of Rs. 50 and a chair at a profit of Rs.15 .Assume that he can sell all items that he buys. Using linear programming, formulate the problem for maximum profit.

A furniture dealer sells only tables and chairs.He has Rs.12,000 to invest and a space to store 90 pieces.A table costs him Rs.400 and a chair Rs.100. He can sell a table at a profit of Rs.75 and a chair at a profit of Rs.25. Assume that he can sell all the items.The dealer wants to get maximum profit.Write the constraints.

A furniture dealer sells only tables and chairs.He has Rs.12,000 to invest and a space to store 90 pieces.A table costs him Rs.400 and a chair Rs.100. He can sell a table at a profit of Rs.75 and a chair at a profit of Rs.25. Assume that he can sell all the items.The dealer wants to get maximum profit. Maximise the objective function graphically.

A furniture dealer sells only tables and chairs.He has Rs.12,000 to invest and a space to store 90 pieces.A table costs him Rs.400 and a chair Rs.100. He can sell a table at a profit of Rs.75 and a chair at a profit of Rs.25. Assume that he can sell all the items.The dealer wants to get maximum profit.By defining suitable variables ,write the objective function.

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 dealer manufactures ceiling fans and table fans. He has Rs. 9000 to invest and a store to keep atmost 75 pieces. A ceiling fan costs him Rs. 300 and a table fan Rs. 200. He expects a profit of Rs. 50 on a ceiling fan and Rs. 20 on a table fan. Assuming that he can sell all the fans that he manufactures, express it as a linear programming problem.

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.

Manufacturer can sell, x items at a price of rupees (5-(x/100)) each. The cost price of x items is Rs. (x/5+500) . Find the number of items he should sell to earn maximum profit:

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?