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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

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 ?

The selling price of 30 items is equal the purchase price of 25 items what is the profit or loss percent?

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

    Text Solution

    |

  2. Find the particular solution of this differential equation (x^2dy)/(dx...

    Text Solution

    |

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

    Text Solution

    |

  4. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |

  5. The area of the region bounded by the curve x^(2)=4y and the straight ...

    Text Solution

    |

  6. A die is thrown again and again until three sixes are obtained. Fin...

    Text Solution

    |

  7. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

    Text Solution

    |

  8. Evaluate : int(-1)^2|x^3-x|\ dx

    Text Solution

    |

  9. Evaluate: int(5x-2)/(1+2x+3x^2)dx

    Text Solution

    |

  10. Evaluate: int("sin"(x-a))/("sin"(x+a))dx

    Text Solution

    |

  11. Differentiate the following function w.r.t. x : x^(sinx)+(sin x)^(...

    Text Solution

    |

  12. If A is an invertible matrix of order 3\ and |A|=5, then find |a d...

    Text Solution

    |

  13. If vec a\ xx\ vec b=\ vec c\ xx\ vec d\ and vec a\ xx\ vec c=\ ...

    Text Solution

    |

  14. Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(...

    Text Solution

    |

  15. Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

    Text Solution

    |

  16. Find the particular solution, satisfying the given condition, for t...

    Text Solution

    |

  17. By using properties of determinants, prove the following |(x+4,2x,2x),...

    Text Solution

    |

  18. Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z...

    Text Solution

    |

  19. Using integration, find the area of the triangle ABC, coordinates o...

    Text Solution

    |

  20. Find the area of circle 4x^2+4y^2=9 which is interior to the parabo...

    Text Solution

    |