Home
Class 12
MATHS
An oil company requires 13000, 20000 and...

An oil company requires 13000, 20000 and 15000 barrels of high grade, medium grade and low grade oil respectively, Refinery A produces 100, 300 and 200 barrels per day of high, medium and low grade oil respectively whereas refinery B produces 200, 400 and 100 barrels per day respectively. If A costs Rs 400 per day and B costs Rs 300 per day to operate, how many days should each be run to minimise the cost of requirement?

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos
  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

Similar Questions

Explore conceptually related problems

An oil company requires 12000, 20000 and 15000 barrerls of high grade, medium grade and low grade oil respectively. Refinary A produces 100,300 and 200 barrerls per day of high, medium and low grade oil respectively whereas refinary B produces 200,400,100 barrels per day respectively.If A costs Rs.400 per day and B Rs.300 costs per day to operate, how many days should each refinery be run to minimize the cost of meeting requirements.

How is leaching carried out in case of low grade copper ores?

How is copper extracted from low grade copper ores ?

How is leaching carried out in case of low grade copper ores ?

Working 4 hours a day,Sunny can copy a book in 15 days.How many hours a day should she work so as to finish the work in 12 days ?

A factory has three machines X,Y and Z producing 1000, 2000 and 3000 bolts per day respectively. The machine X produces 1% defective bolts, Y produces 1.5% and Z produces 2% defective bolts. At the end of a day, a bolt is drawn at random and is found defective. what is the probability that the defective bolt is produced by the machine X?

A pharmaceutical company requires everyday 10,12,12 units of chemicals C_1,C_2 and C_3 respectively. A liquid product contains 5,2,and 1 units of chemicals C_1, C_2 and C_3 respectively per bottle and its cost is Rs.300 per bottle. A dry product contains 1,2 and 4 units of chemicals C_1, C_2 and C_3 respectively per box and it costs Rs.200 per box. how much quantitiy of either of the two products should be purchased daily in order to minimize the cost.

MODERN PUBLICATION-LINEAR PROGRAMMING-EXERCISE
  1. An oil company requires 13000, 20000 and 15000 barrels of high grade, ...

    Text Solution

    |

  2. Draw the graph of the following LPP: 3x+yle17, xge0,yge0.

    Text Solution

    |

  3. Find the solution set of the system of linear contraints : x+yle6, xge...

    Text Solution

    |

  4. Solve the following systems of linear inequalities graphically 3x+4yle...

    Text Solution

    |

  5. Draw the diagrams of the solutions sets of the following linear constr...

    Text Solution

    |

  6. Draw the diagram of the solution sets of the following linear constrai...

    Text Solution

    |

  7. Verity that the solution set of the following constraints is empty : ...

    Text Solution

    |

  8. Verify that the solution set of the following linear constraints : x-2...

    Text Solution

    |

  9. A dietician wishes to mix two types of foods in such a way that vitami...

    Text Solution

    |

  10. Find the first and common difference of AP whose third term is 26 and ...

    Text Solution

    |

  11. A furniture firm manufactues chairs and tables, each requairing the us...

    Text Solution

    |

  12. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

    Text Solution

    |

  13. Maximize Z=2x+3y subject to : x+2yle6, xge4, yge0

    Text Solution

    |

  14. Maximize Z=4x+y subject to : x+yle50, x,yge0

    Text Solution

    |

  15. Maximize Z=x+2y subject to : x+yge5, xge0,yge0

    Text Solution

    |

  16. Solve the following linear programming problems graphically Minimise...

    Text Solution

    |

  17. Solve the following LPP graphically : Maximize Z=10x+7y subject to 3x+...

    Text Solution

    |

  18. Solve the following LPP graphically : Maximize Z=4x+y subject to x+yle...

    Text Solution

    |

  19. Solve the following LPP graphically : Maximize Z=3x+2y subject to x+2y...

    Text Solution

    |

  20. Solve the following LPP graphically : Maximize Z=13x+3y subject to x+y...

    Text Solution

    |

  21. Solve the following LPP graphically : Maximize Z=3x+5y subject to x+yl...

    Text Solution

    |