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A telephone company in a town has 500...

A telephone company in a town has 500 subscribers on its list and collects fixed charges of Rs 300 per subscriber. The company proposes to increase the annual subscription and it is believed that every increase of Rs 1 one subscriber will discontinue the service. Find what increase will bring maximum revenue?

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A DAS GUPTA-Maxima and Minima-EXERCISE
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  3. The value of a so that the sum of the squares of the roots of the equa...

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  4. Twenty metres of wire is available for fencing off a flower-bed in ...

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  5. The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...

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  6. A telephone company in a town has 500 subscribers on its list and c...

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  7. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

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  8. Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...

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  9. A right cylindrical vessel of a given capacity is formed using least p...

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  10. Let f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1. Each critical point of f...

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  11. The point (0, 3) is closest to the curve x^2 = 2y at

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  12. For the function f(x)=xe^x, the point

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  13. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

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  14. N Characters of information are held on magnetic tape, in batches of x...

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  15. The function f(x) = x^2+a/xcannot have a maximum at x = -3 for any rea...

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  16. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

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  17. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

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  18. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

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  19. P is a variable point on the curve y= f(x) and A is a fixed point in...

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  20. The fuel charges for running a train are proportional to the square of...

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