Home
Class 12
MATHS
A manufacturer can sell x items at a pri...

A manufacturer can sell x items at a price of Rs. `(5-x/(100))` each. The cost price of `x` items is Rs. `(x/5+\ 500)dot\ ` Find the number of items he should sell to earn maximum profit.

Text Solution

Verified by Experts

The correct Answer is:
240 is the point of maxima.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|7 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Short Answer Type Questions)|15 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

A manufacturer can sell x items at a price of Rs.(5-(x)/(100)) each.The cost price of x items is Rs.((x)/(5)+500). Find the number of items he should sell to earn maximum profit.

Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each.The cost price of x items is Rs ((x)/(5)+500) Find the number of items he should sell to earn maximum profit

A manufacturer can sell 'x' items at a price of Rs (250-x) each. The cost of producing 'x' items is Rs (x^(2)-50x+12) . Determine the number of items to be sold so that he can make maximum profit.

A manufacturer can sell x items at the price of Rs.(330-x) each.The cost of producing xitems is Rs.x^(2)+10x-12. How many items must be sold so that his profit is maximum?

A manufacturer can sell x items per month at a price p=Rs.(300-2x) Manufacturer's cost of production,Rs.y,of x items is given by y=2x+1000. Find the number of items to be produced per month to yield the maximum profit.

Selling an item at Rs 999 Rochelle made a loss of 26% . The cost price of the item was

If 5 items cost Rs. a,the number of items that can be bought for Rs.b is...

A manufacturing company produces x items at a total cost of Rs 40 + 2x. Their price per item is given as p=120-x Find the value of x for which (i) revenue is increasing (ii) profit is increasing Also find elasticity of demand for price Rs. 80.

If the cost price of 3 items is equal to selling price of 5 items. How much loss in percentage will be made ?

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Frequently Asked Questions
  1. Find two positive number whose sum is 24 and their sum of square is mi...

    Text Solution

    |

  2. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  3. Show that the rectangle of maximum perimeter which can be inscribed...

    Text Solution

    |

  4. Show that the triangle of maximum area that can be inscribed in a g...

    Text Solution

    |

  5. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  6. 40. A given quantity of metal is to be cast into a half cylinder with ...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  9. Let AP and BQ be two vertical poles at points A and B, respectively. ...

    Text Solution

    |

  10. If length of three sides of a trapezium other than base are equal t...

    Text Solution

    |

  11. A square piece of tin of side 24 cm is to be made into a box without t...

    Text Solution

    |

  12. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  13. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  14. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  15. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  16. An Apache helicopter of enemy is flying along the curve given by y=x^...

    Text Solution

    |

  17. An open tank with a square base and vertical sides is to be constru...

    Text Solution

    |

  18. A cuboidal shaped godown with square base is to be constructed. Three ...

    Text Solution

    |

  19. A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. Th...

    Text Solution

    |

  20. A person wants to plant some trees in his community park. The local nu...

    Text Solution

    |