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

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : 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 - II : CHAPTER 12)
  1. Total cost of producing x items is Rs x^(2)/(4)+25x-50 and selling per...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |