Home
Class 12
MATHS
Find the marginal cost and the marginal ...

Find the marginal cost and the marginal revenue when x = 10 , the total cost C(x) and the total revenue R (x) in Rupees, associated with production and sale of x units of an item are given by
`C (x) = 0.003 x^3 + 0.02 x^2 + 20 x + 1200
R (x) = 0.1 x^2 + 25 x - 100`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

The total cost C (x) and the total revenue R (X) associated with the production and sale of x units of an item are given by C(x) = 0.1 x^2 + 30 x + 1000 and R(x) = 0.2x^2 + 36x - 100 find the marginal cost and the marginal revenue when x = 20.

The total cost C(x) and the total revenue R(x) associated with the production and sale of x units of an item are given by C(x)=0.1x^2+30x+1000 and R(X)=0.2x^2+36x-100 . Find the marginal cost and mardinal revenue when x=20.

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 its sale of x units of a product is given by R (X) = 3x^2+ 36x + 5 . Find the marginal revenue, when x = 15

The total cost C(x) associated with product of 'x' units of an item is given by: C(x) =0.005 x^3-0.02x^2 + 30 x + 500 . Find the marginal cost when 3 units are produced.

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.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Water is leaking from a conical funnel at a uniform rate of 4 cm^3//se...

    Text Solution

    |

  2. Water is leaking from a conical funnel of semi-vertical angle pi/4 at ...

    Text Solution

    |

  3. Find the marginal cost and the marginal revenue when x = 10 , the tota...

    Text Solution

    |

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

    Text Solution

    |

  5. The radius of a cylinder is increasing at the rate of 2m/sec and its h...

    Text Solution

    |

  6. An airforce plane is ascending vertically at the rate of 100 (km)/h....

    Text Solution

    |

  7. A spherical ball of salt is dissovlging water in such a manner that th...

    Text Solution

    |

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

    Text Solution

    |

  9. A swimming pool is to be drained for cleaning. If L represents the num...

    Text Solution

    |

  10. Prove that the function f(X) = ax + b is increasing iff a > 0.

    Text Solution

    |

  11. Show that the function f given by f(X) = 7x - 3 is strictly increasing...

    Text Solution

    |

  12. Show that the function f (x) = (x)/(1+|x|) is a strict increasing func...

    Text Solution

    |

  13. Show that the function f(x) = x -(1)/(x) is a strict increasing functi...

    Text Solution

    |

  14. Show that f(x) = 2x+Cot^-1 x +log(sqrt(1+x^2)-x) is increasing in R.

    Text Solution

    |

  15. Show that for a ge1 f(x) = sqrt3 sinx-cosx - 2ax +b is decreasing in R...

    Text Solution

    |

  16. Show that the function f given by f(x) = x^(3) - 3x^(2) + 4x, x in R i...

    Text Solution

    |

  17. Show that f(X) = x^3 - 6x^2 + 18 x + 5 is an increasing function for a...

    Text Solution

    |

  18. Show that the function f(X) = (x^2 - 2x +2) e^x + 3 is an increasing f...

    Text Solution

    |

  19. Show that the function x^2 - x+1 is neither increasing nor decreasing ...

    Text Solution

    |

  20. Indicate the interval in which the function f(X) = cos x, 0lex le2pi, ...

    Text Solution

    |