Home
Class 12
MATHS
Find the maximum profit that a company c...

Find the maximum profit that a company can make , if profit function is given by `p(x) = 41 - 24x - 18x^2`.

Text Solution

Verified by Experts

The correct Answer is:
49
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

Find the maximum profit that a company can make, if the profit function is given by p(x) = 41-72x-18x^2

Fill in the blanks from the given options : (1)/(2) , 9 (6x - 9) (3x^(2) - 9x + 5)^(8), 49, -2, (1)/(2) [log(sin x)]^(2) + c, (1)/(x), 10 , onto The maximum profit that a company can make, if the profit function is given by p(x) = 41 + 24x - 18x^(2) is ..........

Find the maximum profit that a company can make of the profit function is given by p(x)=65-20x-8x^(2)

Find the maximum and the minimum values, if any, of the function f given by f(x) = x^2, x in R

Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x in R

Find the maximum and the minimum values, if any, of the function given by f(x) = x, x in (0, 1).

Find the maximum and minimum values, if any, of the following functions given by: f(x) = -(x - 1)^2+10

Find the maximum and minimum values, if any, of the following functions given by: g(x) = x^3+1

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Important Questions from (Miscellaneous Exercise )
  1. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  2. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  3. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  4. Using differentials, find the approximate value of ((17)/(81))^(1//4)

    Text Solution

    |

  5. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  6. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

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

    Text Solution

    |

  8. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

    Text Solution

    |

  9. If the sum of the lengths of hypotenuse and a side of a right-angled t...

    Text Solution

    |

  10. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

    Text Solution

    |

  11. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  12. A window has the shape of a rectangle surmounted by an equilateral tri...

    Text Solution

    |

  13. The volume of a cube is increasing at the rate of 8 cm^(3)//s. How fas...

    Text Solution

    |

  14. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  15. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  16. Find the maximum profit that a company can make , if profit function i...

    Text Solution

    |

  17. Find the maximum and minimum values of x^4 -8x^3 +12x^2 - 48x+ 25 on...

    Text Solution

    |

  18. Prove that the radius of the right-circlar cylinder of greatest curved...

    Text Solution

    |

  19. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  20. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |