Home
Class 12
MATHS
The total cost C (x) in Rupees associate...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos
  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0. 005 x^3-0. 02 x^2+30 x+5000 . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0. 005 x^3-0. 02 x^2+30 x+5000 . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

The total cost C(x) in rupees, associated with the production of x units of an item is given by C(x)=0.05x^(3)-0.01x^(2)+20x+1000 . Find the marginal cost when 3 units are produced .

If the total cost of producing x units of a commodity is given by C(x)=(1)/(3)x^(2)+x^(2)-15x+300 , then the marginal cost when x=5 is

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) total cost, write the marginal cost of food for 300 students.

Given that the total cost junction for x units of a commodity is: C(x) = x^(3)/3 + 3x^(2) - 7x + 16 . Find the Marginal Cost (MC) .

If C(x) = 3x^(2) - 2x + 3 , the marginal cost when x = 3 is

The average cost function associated with producing and marketing units of an item is given by AC = 2x - 11 + (50)/x Find: the total cost function and marginal cost function

The total cost function is given by C(x) = 2x^(3)-3.5x^(2) +x . Find the marginal average cost function.

The average cost function associated with producing and marketing x units of an item is given by AC = 3x - 11+ (10)/(x) . Then MC at x = 2 is

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. Find the rate of change of the area of a circle with respect to its ...

    Text Solution

    |

  2. Find the rate of change of the volume of a ball with respect to its...

    Text Solution

    |

  3. The total cost C (x) in Rupees associated with the production of x uni...

    Text Solution

    |

  4. The money to be spend for the welfare of the employees of a firm is...

    Text Solution

    |

  5. The money to be spent for the welfare of the employees of a firm is ...

    Text Solution

    |

  6. An edge of a variable cube is increasing at the rate of 3 cm per se...

    Text Solution

    |

  7. The radius of a circle is increasing uniformly at the rate of 4 cm/...

    Text Solution

    |

  8. If the area of circle increases at a uniform rate, then prove that the...

    Text Solution

    |

  9. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  10. The radius of a balloon is increasing at the rate of 10 cm/sec. At ...

    Text Solution

    |

  11. A spherical ball of salt is dissolving in water in such a manner that ...

    Text Solution

    |

  12. Find an angle theta , which increases twice as fast as it sine.

    Text Solution

    |

  13. A stone is dropped into a quiet lake and waves move in circles at a...

    Text Solution

    |

  14. differentiate xsinx with respect to x.

    Text Solution

    |

  15. The volume of a cube is increasing at a rate of 9 cm^3/sec . How fast...

    Text Solution

    |

  16. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

  17. find f ' (x) if f(x) = sinxlogx

    Text Solution

    |

  18. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

    Text Solution

    |

  19. The length  of a rectangle is decreasing at the rate of 2 cm/sec a...

    Text Solution

    |

  20. find f '(x) if f(x)= log(logx)

    Text Solution

    |