Home
Class 12
MATHS
At present, a firm is manufacturing 2000...

At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by `(d P)/(dx)=100-12sqrt(xdot)` If the firm employs 25 more workers, then the new level of production of items is (1) 3000 (2) 3500 (3) 4500 (4) 2500

A

2500

B

3000

C

3500

D

4500

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 7 :|1 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

The total revenue Rs. R received form the sale of x units of a product is given by R(x) = 3x^2 + 36x + 5 . The marginal revenue when x = 5 is (marginal revenue is the rate of change of total revenue w.r.t. number of items sold at an instant)

The total revenue in Rupees received from the sale of x units of a product is given by R(x) - 3x^2 +36x +5 Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

Find the marginal cost and the marginal revenue when x = 10 , the total cost C(x) and the total revenue R (x) in Rupees, associated with production and sale of x units of an item are given by C (x) = 0.003 x^3 + 0.02 x^2 + 20 x + 1200 R (x) = 0.1 x^2 + 25 x - 100 .

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  2. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

    Text Solution

    |

  3. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  4. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

    Text Solution

    |

  5. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  6. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  7. Differentiate the following w.r.t x (log x)^(cos x)

    Text Solution

    |

  8. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  9. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  10. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

  11. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  12. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  13. Let the population of rabbits surviving at a time t be governed by t...

    Text Solution

    |

  14. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |

  15. The population p(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

  16. If (dy)/(dx)=y+3 and y(0)=2, then y(log2) is equal to

    Text Solution

    |

  17. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  18. Solution of the differential equation cosxdy=y(sinx-y)dx, 0ltxlt(pi)...

    Text Solution

    |

  19. The differential equation which represents the family of curves y=c(1)...

    Text Solution

    |

  20. The differential equation of the family of circles with fixed radius ...

    Text Solution

    |