A company manufactures cassettes and its cost equation for a week is C = 300 + 1.5 x and its revenue equation is R = 2x, where ‘x’ is the number of cassettes sold in a week. How many cassettes must be sold for the company to realize a profit ?

How many solutions of the equations 2x+1=x-3 are there on the: number line?

The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2 . Write its vector form.

A manufacturing company makes two types of television sets, one is black and white and the other is colcoured. The company has resources to make atmost 300 sets a week. It takes Rs.1800 to make a black and white set and Rs.2700 to make a colured set. The company can spend not more thatn Rs.648000 a week to make television sets. if it makes a profit of Rs.510 per black and white set and Rs.675 per coloured set. how many sets of each type should be produced so that the company has maximum profit?

How many real solutions of the equation 6x^(2)-77[x]+147=0 , where [x] is the integral part of x ?

The total revenue in Rupees received from the sale of x units of a product is givne by R(x) = 3x^2 + 36 x + 5 . Find the marginal revenue, when x = 6, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

The cartesian equation of a line is (x-1)/(3)=(y-4)/(5)=(z-3)/(2) . Write its vector form.

find the discriminant of the equation 3x^2-2x+1/3=0 and hence find the nature of its roots. Find them, if they are real.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) - 3x^2 +36x +5 Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

The number of real solution of the equation x^(2)=1-|x-5| is:

For what natural number c, the linear equations 2x+cy=9 has equal values of x and y for its solutions.