Home
Class 12
MATHS
The marginal cost function of manufactur...

The marginal cost function of manufacturing x pairs of shoes is `RS(6+10x-6x^(2))`. The total cost of producing a pair of shoes is RS 12. Find the total and average cost functions.

Text Solution

Verified by Experts

The correct Answer is:
`RS(3+6x+5x^(2)-2x^(3))andRS(6+5x-2x^(2)+(3)/(x))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise MULTIPLE CORRECT ANSWERS TYPE|5 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise B INTEGER ANSWER TYPE|5 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -D|11 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

Similar Questions

Explore conceptually related problems

Suppose the marginal cost of a product is given by RS(10+24x-3x^(2)) , where x is the number of units produced. It the fixed cost is known to be RS 40, find the total cost function and the average cost function.

If the marginal function for x units of output is given by (6)/((x+2)^(2))+5 , find the total revenue function and the demand law.

The marginal cost of a commodity is given by Rs (27-32x+9x^(2)) , where x is the output. Find the total cost and average cost function, given that the initial cost is RS 50.

If y is the total cost of x units of output and it is given that marginal cost equals average cost, show that the average cost function is constant.

The cost of frac(5)(7) part of property is Rs. 2825. Let's find the cost of frac(2)(7) part of the property.

The domain of definition of the function f(x) =sqrt(log _(e) (x^(2) -6x +6)) is-

Let y=3x. (x+7)/(x+5)+4 be the total cost for x units of output of a product. Show that the marginal cost falls continuously as the output increases. [Note that the marginal cost of a product is the rate of change in cost for unit change in the output.]

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.

The total cost of 3 kg mustered -oil and 2 kg coconut -oil is Rs. 104. While the cost of 5kg mustered -oil and 3kg coconut-oil is Rs. 164 . Find the cost of 1 kg each of both mustered -oil and coconut.

The cost c of manufacturing a certain article is given by the formula , c=5+(48)/(x)+3x^(2) , where x is the number of articles manufactured . Find the minimum value of c .

CHHAYA PUBLICATION-DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE -PART -E
  1. A curve passes through the point (3,-4) and the slope of the tangent t...

    Text Solution

    |

  2. Determine the equation of the passing through the origin, the slope of...

    Text Solution

    |

  3. The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4...

    Text Solution

    |

  4. Show that, the family of curves for which the slope of the tangent at ...

    Text Solution

    |

  5. A curve is passing through the point (4,3) and at any point the gradie...

    Text Solution

    |

  6. Show that, the equation of the curve passing through (1,0) and satisfy...

    Text Solution

    |

  7. A curve passes through tha point (2,0) and satisfies the equation ydy+...

    Text Solution

    |

  8. A motor boat is moving in a straight line. Its velocity is V when the ...

    Text Solution

    |

  9. A particle starts from the origin and moves along a straight line. If ...

    Text Solution

    |

  10. The velocity of a particle moving in a straight path is given by v=16t...

    Text Solution

    |

  11. The acceleration of a particle moving along a straight line is (6t^(2)...

    Text Solution

    |

  12. If the acceleration of a particle at time t seconds be 1.2t^(2)ft//s^(...

    Text Solution

    |

  13. A particle starts form the origin with a velocity of 10 cm/s and moves...

    Text Solution

    |

  14. A particle starts from the origin with a velocity of 2 cm/s and moves ...

    Text Solution

    |

  15. In a certain culture, the number of bacteria at any instant increases ...

    Text Solution

    |

  16. A radioactive substance is subject to the law of natural decay (dv)/(d...

    Text Solution

    |

  17. Suppose the marginal cost of a product is given by RS(10+24x-3x^(2)), ...

    Text Solution

    |

  18. If the marginal revenue function is (15-2x-x^(2)), find total revenue ...

    Text Solution

    |

  19. The marginal cost function of manufacturing x pairs of shoes is RS(6+1...

    Text Solution

    |

  20. If y is the total cost of x units of output and it is given that margi...

    Text Solution

    |