Home
Class 12
MATHS
A wholesale merchant wants to start the ...

A wholesale merchant wants to start the business of cereal with ₹ 24000. Wheat is ₹ 400 per quintal and rice is ₹ 600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit ₹ 25 per quintal on wheat and 40 per quintal on nee. If he stores x quintal rice and y quintal wheat, then for maximum profit the objective function is

A

`25x+40y`

B

`40x+25y`

C

`400x+600y`

D

`(400)/(40)x+(600)/(25)y`

Text Solution

Verified by Experts

The correct Answer is:
B
For maximum profit `z=40x+25y`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2007

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MHTCET 2009

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

A wholesale merchant wants to start the business of cereal with Rs 24000 . Wheat is Rs 400 per quintal and rice is Rs 600 per quintal . He has capacity to stroe 200 quintal of cereal . He earns profit of Rs 25 per quintal on wheat and Rs 40 per quintal on rice . If he stroes x quintal rice and y quintal wheat, then for maximum profit the objective function is

A merchant purchased two qualities of pulses at the rate of 200 per quintal and 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at 300 per quintal, he gains a profit of 25%?

A person bought 8 quintal of rice for certain rupees. After a week, he sold 3 quintal of rice at 10% profit, 3 quintal of rice with neither profit nor loss and 2 quintal at 5% loss. In this transaction, what is the profit?

A grain merchant sold 600 quintals of rice at a profit of 7% .If a quintal of rice cost him Rs 250 and his total overhead charges for transportation,etc.were Rs 1000 find his total profit and the selling price of 600 quintals of rice.

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2008-MATHEMATICS
  1. The equation 12x^(2)+7xy+ay^(2)+13x-y+3=0 represents a pair of perpend...

    Text Solution

    |

  2. The symmetric equation of lines 3x+2y+z-5=0andx+y-2z-3=0, is

    Text Solution

    |

  3. A wholesale merchant wants to start the business of cereal with ₹ 2400...

    Text Solution

    |

  4. The chances to fail in Physis are 20% and the chances to fail in Mathe...

    Text Solution

    |

  5. lim(x to0)(cosax-cosbx)/(x^(2)) is equal to

    Text Solution

    |

  6. If f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):} is continuous at x=0,...

    Text Solution

    |

  7. The solution of the differential equation (dy)/(dx)=(x-y+3)/(2x(x-y)+5...

    Text Solution

    |

  8. If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)), then (dy)/(dx) is equal...

    Text Solution

    |

  9. The velocity of particle at time t is given by the relation v=6t-(t^(2...

    Text Solution

    |

  10. The maximum value of function f(x)=x^3-12 x^2+36 x+17 in the interval ...

    Text Solution

    |

  11. vec(a)xx[vec(a)xx(vecaxxvecb)] is equal to

    Text Solution

    |

  12. If one end of the diameter is (1, 1) and the other end lies on the lin...

    Text Solution

    |

  13. For the circuits shown below, the Boolean polynimial is

    Text Solution

    |

  14. Dual of (x'vvy')'=x^^y is

    Text Solution

    |

  15. Negation of the conditional ''If it rains, I shall go to school'' is

    Text Solution

    |

  16. The value of intxsinxsec^(3)xdx is

    Text Solution

    |

  17. The value of int underset(0)overset(pi) xsin^(3)xdx is

    Text Solution

    |

  18. A parents has two children. If one of them is boy, then the probabilit...

    Text Solution

    |

  19. For the LPP Min z=x(1)+x(2) such that inequalities 5x(1)+10x(2)ge0,x...

    Text Solution

    |

  20. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |