Home
Class 12
MATHS
Total cost of producing x items is Rs x^...

Total cost of producing x items is `Rs x^(2)/(4)+25x-50` and selling perice of each is `Rs 100 -(x)/(4)`. The output for maximum profit must be

A

25

B

75

C

50

D

100

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

Total cost of producing x items is Rs(x^(2)+10x+12) and selling price of each is Rs(330-x) . Then output for maximum profit must be

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.

The total cost of producing x radio sets per day is Rs.((x^(2))/(4)35x+25) and the price per set at which they may be sold is Rs.(50-(x)/(2)). Find the daily output to maximize the total profit.

If cost price of an article is Rs. 80 and its selling price is Rs. 100, then find the profit and profit percentage.

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 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.

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.

Complete the grid using the clues given below. Clues Down (1) The total cost price of a TV set whose cost price is Rs 6,900 and money spent on repairs is Rs 300. (2) The price of a cycle is Rs 800. It is now increased by 20%. The new sale price is Rs ____________. (3) The list price of a bag is Rs 220. A discount of 15% is offered to make the sales price as Rs ___________. Across (1) Discount on an item marked at Rs 800 and sold for Rs 721. (3) The selling price of a fan costing Rs 1,200 if a profit of Rs 5% is to be made. (4) The cost price of an item sold at Rs 1,600 at a 100% profit. (5) The profit per cent of an item marked at Rs 800 and sold at Rs. 1,360.

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)
  1. If the tangent to the curve y=ax^(2)+3x+7, at the point x=6, is parall...

    Text Solution

    |

  2. If the equation of the normal to the curve y=ax^(2)+2x-3, at =1, is x ...

    Text Solution

    |

  3. Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5...

    Text Solution

    |

  4. Inclination of the normal to the curve xy=c^(2), at the point x=c, is

    Text Solution

    |

  5. Equations of the tangent and normal to the curve y=3sqrt(x-1), at the ...

    Text Solution

    |

  6. If lines T(1) and T(2) touch the curve y=x^(2)-3x+2 at the points wher...

    Text Solution

    |

  7. Equation of the tangent to the curve 4y=x^(2)+3x+2, which is parallel ...

    Text Solution

    |

  8. If the line y=4x+2 touches the curve y=a+bx+3x^(2) at the point where ...

    Text Solution

    |

  9. Equation of the tangent to the curve ((x)/(a))^(2009)+((y)/(b))^(20...

    Text Solution

    |

  10. Any tangent to the curve y=1-x^(5)-8x makes with the X-axis

    Text Solution

    |

  11. f(x)=2x^(3)-18x^(2)+30x+36 has minimum value at x = ….

    Text Solution

    |

  12. Maximum value of f(x)=x^(3)-9x^(2)+24x-15 is

    Text Solution

    |

  13. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

    Text Solution

    |

  14. When x is positive, the minimum value of x^(x) is

    Text Solution

    |

  15. If area of a rectangle is k^(2) , where k gt 0, then its minimum perim...

    Text Solution

    |

  16. If minima of f (x) =(a)/(x)+bx at x = 2 is 2, then (a, b)-=…

    Text Solution

    |

  17. Total cost of producing x items is Rs x^(2)/(4)+25x-50 and selling per...

    Text Solution

    |

  18. If volume of a box, having square base and open top, is 108m ^(3), the...

    Text Solution

    |

  19. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |