Manufacturer can sell x items at a price of rupees `Rs(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 furniture dealer deals in only two items tables 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. Assuming that he can sell all the items that he buys, how should he invest his money in order that he may maximize his profit?

Cost of an item is Rs.50. It was sold with a profit of 12%. Find the selling price.

If 5 items cost Rs a then _______ items can be bought for Rs b.

A man has Rs 1500 for the manufacture of rice and wheat. A bag of rice and a bag of wheat costs Rs 180 and Rs 120 respectively. He has storage capacity of 10 bags only. He earns a profit of Rs 11 and Rs 9 per bag of rice and wheat respectively. Formulate the problem as an LPP to find the number of bags of each type he should buy to maximize the profit and solve it graphiclly.

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 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 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