Home
Class 12
MATHS
The total expenditure(in ₹ ) regquiredfo...

The total expenditure(in ₹ ) regquiredfor providing the cheap edition of a book for poor and deservin students is given by R(x) = `3x^(2)` + 36x, where x is the number of set of books. If the marginal expenditure is defined as `(dR)/(dx)` , write the marginal expenditure required for 1200 such sets.

Text Solution

Verified by Experts

The correct Answer is:
7236
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - I RATE OF CHANGE OF QUANTITIES (LONG ANSWER TYPE QUESTIONS -II)|8 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS-I)|2 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^(2) + 36x + 5. The marginal revenue, when x = 15 is

The total revenue in rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15 . Find the marginal revenue when x = 7.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15. Find the marginal revenue when x = 7.

The total cost associated with provision of free mid-day meals to x students of a school in primary classes is given by C(x) = 0.005x^(3) - 0.02x^(2) + 30x + 50. If the marginal cost is given by rate of change (dc)/(dx) of total cost, write, the marginal cost of food for 300 students.

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 total cost C(x) in rupees associated with the production of x units of an item is given by C(x) = 0.007x^(3) - 0.003 x^(2) + 15x + 4000 . Find the marginal cost when x = 17 units are produced.

Show that the function f : R to R , defined by f(x) = 1/x is one-one and onto, where R, is the set of all non-zero real numbers.

Let R+ be the set of all non-negative real numbers. Show that the function f : R+ rarr [ 4 ,oo ] given by f(x) = x^(2) + 4 is invertible and write the inverse of f.

If f : C rarr C , Where C is the set of all complex numbers, is defined by f(x)=x^3, AA x in C , then f^-1(64) =

The function f : N rarr N , Where N is the set of natural numbers, defined by f(x) = 3x+4 is

OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
  1. The total expenditure(in ₹ ) regquiredfor providing the cheap edition ...

    Text Solution

    |

  2. Show that of all the rectangles inscribed in a given circle, the sq...

    Text Solution

    |

  3. A jet of enemy is along the curve y=x^2+2 and a soldier is placed at (...

    Text Solution

    |

  4. A B is a diameter of a circle and C is any point on the circle. ...

    Text Solution

    |

  5. Find the point P on the curve y^(2) = 4ax which is nearest to the poin...

    Text Solution

    |

  6. If the length of three sides of a trapezium other than the base is ...

    Text Solution

    |

  7. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  8. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |

  9. From all the closed right circular closed cylindrical can of volume 1...

    Text Solution

    |

  10. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  11. Prove that the height of the cylinder of maximum volume, that can be i...

    Text Solution

    |

  12. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |

  13. The sum of the perimeters of a circle and a square is k , where k is s...

    Text Solution

    |

  14. Find the area of the greatest rectangle that can be inscribed in an...

    Text Solution

    |

  15. Prove that the radius of the right circular cylinder of greatest cu...

    Text Solution

    |

  16. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |

  17. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  18. An open box, with a square base, is to be made out of a given quant...

    Text Solution

    |

  19. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

  20. Show that a cylinder of a given volume which is open at the top has...

    Text Solution

    |

  21. Find the point on the curve y^2= 2x which is at a minimum distance fro...

    Text Solution

    |