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 manufacture can sell x items at a price of Rs. (5-x/100) each. The cost price of x items is c(x)=(x/5+500) . Write the selling price S(x) of x items.

Consider the expansion of ((4x)/5-5/(4x))^8 Find the number of terms in the expansion

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.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.By defining suitable variables ,write the objective function.

A company produces two types of goods, A and B , that require gold and silver. Each unit of type A requires 3 gm of silver and 1 gm of gold while that of type B requires 1 gm of silver and 2 gm of gold. The company can use 9 gm of silver and 8 gm of gold. If each unit of type A brings a profit of Rs. 40 and that of type B Rs. 50 , find the number of units of each type that the company should produce to maximise the profit. What is the 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 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 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.

A manufacturing company sells its products at 10 % profit. If the manufacturing cost of a product is Rs. 350 , at what price do they sell it?