A furniture dealer sells only tables and chairs. He has Rs. 12,000 to invest and a space to store 90 pieces. A tables 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 the items. The dealer wants to get maximum profit.
(i) By defining suitabale variables, write the objective function.
(ii) Write the constraints.
(iii) Maximise the objective function graphically.

A furniture dealer sells only two items namely tables and chairs. He has Rs. 10,000 to invest and a space to store atmost 60 piecs. A table costs him Rs. 500 and a chair rs. 200 He can sell a table at a profit of Rs. 50 and a chair at a profit Rs 15. Assume that he can sell all the items that he buys. By defining suitable variables. i. write the objective function ii. write the cost constraint iii. write the space constraint iv write the non negative constraint

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

A factory manufactures two types of screws, A and B. Each type of screw requires the use of 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 its 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 screws 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 each type should the factory owner produce in a day in order to maximise his profit ? Determine the maximum profit.

Manu has Rs. 36,000 for purchaes of rice and wheat. A bag of rice and a bag of wheat cost Rs 180 and Rs 120 respectively. He has a storage capacity for 250 bages only. He ears a profit of Rs 11 and Rs. 9 per bag of rice and wheat respectively. (i) formulate an LPP to maximise the profit (ii) Solve the LPP.

A hall has a capacity for 100 chairs. The cost of a red chair is Rs. 240, blue chair Rs. 260 and green chair Rs. 300. The total cost of chairs is Rs. 25,000. Find atleast 3 different solutions of the no. of chairs to be purchased.