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 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 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 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 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 company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day. The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day. The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B. Then, By defining suitable variables write the objective function.

A manufacturur produces nuts and bolts.It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts.He earns a profit of Rs.17.50 per package on nuts and Rs.7 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days? By suitable defining the variables write the objective function of the problem.