Home
Class 12
MATHS
A manufacturer's total cost of producti...

A manufacturer's total cost of production ( in Rs.) of x things is ` f(x)=1000+10^(-10) x^(4)`. What is the marginal cost when 1200 things are produced ?

Text Solution

Verified by Experts

0.6912
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

The total cost C(x) of producing x items in a firm is given by C(x)=0.0005x^(3)-0.002x^(2)+30x+6000 Find the marginal cost when 4 units are produced

The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x)=0.007x^(3)-0.003x^(2)+15x+4000. Find the marginal cost when 17 units are produced

The total cost C(x) in rupees, associated with the production of x units of an item is given by C(x)=0.05x^(3)-0.01x^(2)+20x+1000 . Find the marginal cost when 3 units are produced .

5.The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x)=0,007x^(3)-0.003x^(2)+15x+4000 Find the marginal cost when 17 units are produced.

The total cost C(x) in Rupees,associated with the production of x units of an item is given by C(x)=0.005x^(3)-0.02x^(2)+30x+5000 Find the marginal cost when 3 units are produced,where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

The total cost of producing 9 units of output is ₹ 85 . If average total cost of producing 10 units is ₹ 10 , then what will be the marginal cost of producing this level of output ?

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.

The total cost function for production of articles is given as C = 100 + 600 x- 3x^(2) then the values of x for which the total cost is decreasing is …………

The cost of producing and marketing x unit of a certain commodity is given by C=x^(3)+20x+2400 . Find the marginal cost (MC) when x=10 units (a) 2400 (c) 695 (b) 320 (d) 254

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-TRY YOURSELF
  1. The formula giving the altitude y(m) in terms of time t ( seconds ) of...

    Text Solution

    |

  2. The vessel is filled with 1000 litres of water at 8 a.m. The volume o...

    Text Solution

    |

  3. A manufacturer's total cost of production ( in Rs.) of x things is f...

    Text Solution

    |

  4. The total revenue ( in rupees ) received from the sale of x units of L...

    Text Solution

    |

  5. Consider a police going 60km/hour sees speeder to be going 20 km/ho...

    Text Solution

    |

  6. 2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...

    Text Solution

    |

  7. एक घन का आयतन 9 cm^3//s की दर से बढ़ रहा है यदि इसके कोर की लम्बाईया...

    Text Solution

    |

  8. A stone is dropped into a well and progressive waves are moving in cir...

    Text Solution

    |

  9. Show that f(x)=[x], ([] implies greatest integer function ) is increas...

    Text Solution

    |

  10. Show that f(x)=1/x is decreasing function on (0,oo)dot

    Text Solution

    |

  11. Prove that funciton given by (i) f(x)=x^(2) is (a) Strictly i...

    Text Solution

    |

  12. Find the interval in which the function f given by f(x)=x^(2)-2x+3 is ...

    Text Solution

    |

  13. सिद्ध कीजिए की f(x)=tan ^(-1)(sin x + cos x ),x gt 0 से प्रदत फलन f...

    Text Solution

    |

  14. Find the slope of tangent to curve y=x+2log x at x=1.

    Text Solution

    |

  15. Distance between the points on the curve 4x^2 + 9y^2 = 1, where tangen...

    Text Solution

    |

  16. Find the point at which the tangent to the curve y=(3)/(5)x^(5)-(5)/(3...

    Text Solution

    |

  17. Find pints on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

    Text Solution

    |

  18. प्रवणता 2 वाली सभी रेखाओं का समीकरण ज्ञात कीजिए जो वक्र y+2/(x-3)=0 क...

    Text Solution

    |

  19. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3) at ...

    Text Solution

    |

  20. Find the equation of tangent and normal to the curve x^((2)/(3))+y^((...

    Text Solution

    |