Home
Class 12
MATHS
An aeroplane can carry a maximum of 200 ...

An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 1000 is made on each executive class ticket and a profit of Rs. 600 is made on each economy class ticket. The airline reserves at least 20 seats for executive class. However, at least 4 times as many passengers prefer to travel by economy class than by the executive class. Determine how many tickets of each type must be sold in order to maximize the profit for the airline. What is the maximum profit?

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos
  • MAXIMA AND MINIMA

    RD SHARMA ENGLISH|Exercise All Questions|309 Videos

Similar Questions

Explore conceptually related problems

An aeroplane can carry a maximum of two passengers. A profit of Rs. 1000 is made on each executive clas ticket and a profit of Rs. 600 is made on each economy class ticket. The airline reserves at least 20 seats for executive class. However at least 4 times as many passengers prefer to travel by economy clas than by the executive class. Determine how many tickets of each type must be sold in order to maximise the profit for the airline. What is the maximum profit?

An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 400 is made on each first class ticket and a profit of Rs. 300 is made on each second class ticket. The airline reserves at least 20 seats for first class. However, at least four times as many passengers prefer to travel by second class then by first class. Determine how many tickets of each type must be sold to maximise profit for the airline. Form an LPP and solve it graphically.

The main reserve food material of class Chlorophyceae is :

First class lever and Second class lever

How are polymers classified according to their structure? Give important features of each class. Also give two examples of each class.

IUB has divied enzymes into how many classes?

If the profit made on a packet of tea is Rs 4 and the cost price of the packet is Rs 20, then how much is the profit percentage?

List two major classes of antibiotics with an example of each class.

A cylinder manufacturer makes small and large cylinders from a large piece of cardboard. The large cylinder requires 4 sq. m and small cylinder requires 3 sq. m of cardboard. The manufacturer is required to make at least 3 large cylinder and at least twice as many small cylinder as large cylinders. If 60 sq. m of cardboard is in the stock and profit on the small and large cylinders are Rs. 25 and Rs 35 respectively. How many of each type of cylinders to made to maximize the profit. Also, find the maximum profit.

Class-one lever and class-three lever

RD SHARMA ENGLISH-LINEAR PROGRAMMING -All Questions
  1. Find dy/dx if 3x-6y=50

    Text Solution

    |

  2. Find dy/dx if x-y=siny

    Text Solution

    |

  3. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. ...

    Text Solution

    |

  4. Find dy/dx if 10x+2y=200

    Text Solution

    |

  5. The solution set of the inequation 2x+y >5 is

    Text Solution

    |

  6. Objective function of a LLP is (A) a constraint          (B) a func...

    Text Solution

    |

  7. Which of the following is not a convex set? {(x , y):2x+5y<7} b. {(x ,...

    Text Solution

    |

  8. Find dy/dx if 2x-2y=siny

    Text Solution

    |

  9. The maximum value of Z=4x+2y subjected to the constraints 2x+3ylt=18 ,...

    Text Solution

    |

  10. The optimal value of the objective function is attained at the points ...

    Text Solution

    |

  11. The maximum value of Z=4x+3y subjected to the constraints x+2ygeq16...

    Text Solution

    |

  12. Find dy/dx if 3x-4y=tanx

    Text Solution

    |

  13. The objective function Z=4x+3y can be maximized subjected to the c...

    Text Solution

    |

  14. If the constraints in a linear programming problem are changed

    Text Solution

    |

  15. Which of the following statements is correct?

    Text Solution

    |

  16. Find dy/dx if 4x-4y=siny

    Text Solution

    |

  17. The region represented by the inequation system x ,\ ygeq0,\ ylt=6,\ x...

    Text Solution

    |

  18. The point at which the maximum value of x+y subject to the constraints...

    Text Solution

    |

  19. The value of objective function is maximum under linear constraints (a...

    Text Solution

    |

  20. The corner points of the feasible region determined by the following ...

    Text Solution

    |