Home
Class 11
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) = 0.005x^(3)- 0.02 x^(2)+30x+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.

Text Solution

Verified by Experts

The correct Answer is:
3 units
Promotional Banner

Topper's Solved these Questions

  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Analytical Solved Examples|3 Videos
  • RATE OF CHANGE

    AAKASH SERIES|Exercise Exercise 6.1 (SHORT ANSWER QUESTIONS)-I|5 Videos
  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 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) = 0.007x^(3) - 0.003x^(2)+15x+4000 . Find the marginal cost when 17 units are produced.

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 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) = 3x^(2) + 36x + 5. The marginal revenue, when x = 15 is

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

AAKASH SERIES-RATE OF CHANGE-Advanced Subjective Type Questions
  1. The total cost C(x) in Rupees, associated with the production of x uni...

    Text Solution

    |

  2. A stone is dropped into a quiet pond and waves move in circles outward...

    Text Solution

    |

  3. If the rate of change in the area of a circle is it pi sq. cm/sec, the...

    Text Solution

    |

  4. When a circular oil drop expands on water, its area increases at the u...

    Text Solution

    |

  5. A ladder 20 feet long whose top is resting against a vertical wall on ...

    Text Solution

    |

  6. A rod of 10 feet long moves with its ends A and B always on the axes o...

    Text Solution

    |

  7. A man on a wharf 20 mt above the water level, pulls in a rope to which...

    Text Solution

    |

  8. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |

  9. A person of height 180 cm starts from a lamp post height 450 cm and wa...

    Text Solution

    |

  10. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  11. The side of a square increases at the rate of lem per second. Find the...

    Text Solution

    |

  12. The side of an equilateral triangle increases at a uniform rate of 0.0...

    Text Solution

    |

  13. The side of a cube increases at a uniform rate of 0.05cm per sec. Find...

    Text Solution

    |

  14. Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...

    Text Solution

    |

  15. The radius of a sphere increases at the rate of 0.03 cm/sec. Find the ...

    Text Solution

    |

  16. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  17. If the volume of a spherical ball is increasing at the rate of 4pi cc/...

    Text Solution

    |

  18. The side of a cube is equal to the radius of a sphere. If the side and...

    Text Solution

    |

  19. The base radius of a cylindrical vessel full of oil is 30 cm. Oil is d...

    Text Solution

    |

  20. The diameter and the altitude of a circular cylinder are found at a ce...

    Text Solution

    |

  21. The pressure p and the volume of a gas are connected by the relalson p...

    Text Solution

    |