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

Find the number of solution to equation (log)_2(x+5)=6-x :

Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

Find the number of solution of 2^x+3^x+4^x-5^x=0

Find the number of solution of 2^x+3^x+4^x-5^x=0

A manufacture's cost function C(x) and revenue function R(x) of x units of a product are respectively given by C(x)=3x+250 and R(x)=8x+30 Find the number of products the manufacture must sell to earn some profit.

Find the number of terms of each of the following binomials : (a+x)^(100)

let a person bought 2 sharees of price Rs. 30 each, 3 sharees of price Rs. 35 each and 5 sharees of price Rs. 45 each. What is the average price of the sharees ?

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 screw 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 ofRs. 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.

A firm produces x units of a product. The cost function C(x) and revenue function R(x) of x unit are given by C(x)=4(x+200) and R(x)=8(x+55). Find the minimum number of product the firm must produce the firm must produce to run as a profitable concern.