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A telephone company in a town has 500 su...

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

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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?

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 services. Find what increase will bring maximum revenue?

A private telephone company serving a small community makes a profit of Rs. 12.00 per subscriber, if it has 725 subscribers. It decides to reduce the rate by a fixed sum for each subscriber over 725, thereby reducing the profit by 1 paise per subscriber. Thus, there will be profit of Rs. 11.99 on each of the 726 subscribers, Rs. 11.98 on each of the 727 subscribers, etc. What is the number of subscribers which will give the company the maximum profit?

the income of a person is Rs. 300,000 in the first year and he receivers in increase of Rs. 10000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.

Malti has deposited certain sum in a bank at 3.5% per annum. The bank announces an increase in the interest rate by 1.5% p.a. Malti deposits an additional ₹2500 in the bank. The annual interest that Malti receives now is ₹221 , more than what she would have got earlier. Find the original deposite.

The value of an article decreased for two years at the rate of 10% per year and then in the third year it increased by 10%. Find the original value of the article, if its value at the end of 3 years is Rs Rs 40,095

The value of an article decreased for two years at the rate of 10% per year and then in the third year it increased by 10%. Find the original value of the article, if its value at the end of 3 years is Rs 40,095

(Manufacturing problem) A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 8000 on each piece of model A and Rs 12000 on each piece of Model B. How many-pieces of Model A and Model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week?

A manufacturing company makes two models A and B of a product. Each piece of mode a requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Mode B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricati2 and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs. 8000 on each piece of model A and Rs. 12000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week?

A profit making company wants to launch a new product. It observes that the fixed cost of the new product is Rs 35,000 and the variable cost per unit is Rs500. The revenue received on the sale of x units is given by 5000x-100x^2 . Find : (a) profit function (b) breakeven point (c) the values of that results in a loss.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. A telephone company in a town has 500 subscribers on its list and coll...

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  2. Let f,g : [-1,2] to be continuous functions which are twice different...

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  3. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

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  4. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

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  5. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

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  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  7. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

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  8. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

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  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  10. The length of the longest interval in which the function 3sinx-4sin^3x...

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  11. If f(x)=xe^(x(1-x)), then f'(x) is

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  12. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

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  13. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

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  14. The function f(x)=(log (pi+x))/(log (e+x))," is "

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  15. Let fa n dg be increasing and decreasing functions, respectively, from...

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  16. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

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  17. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

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  18. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

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  19. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

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  20. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  21. The total number of local maxima and local minima of the function f...

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