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

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 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.

Find the number of shares received when Rs 60,000 was invested in the shares of FV Rs 100 and MV Rs 120