Home
Class 12
MATHS
A dealer wishes to purchase a number of ...

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has a space for at most 20 items. A fan costs him Rs. 360 and a sewing machine Rs. 240. His expectation is that he can sell a fan at a profit of Rs. 22 and a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize the profit? Formulate this as a linear programming problem and solve it graphically.

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs. 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him Rs. 360 and a manually operated sewing machine Rs. 240. He can sell an electronic sewing machine at a profit of Rs. 22 and a manually operated sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit? Make it as a LPP and solve it graphically.

If SP = Rs. 22 and CP = Rs. 18, then profit = Rs. 4.

A dealer wishes to purchase table fans and ceiling fans. He has Rs. 57,600 to invest, and has space to store 40 items. A table fan costs Rs. 750 and ceiling fan costs Rs. 900. He can make profits of Rs. 70 and Rs. 90 by selling a table fan and a ceiling fan respectively. If dealer sell all the fans that he buy, the formulate this problem as LPP, to maximize the profit.

A dealer deals in two items A and B He has Rs. 15000 to invest and a space to store almost 80 pieces Item A costs him Rs 300 and item B costs him Rs. 150 He can sell items A and B at profits of Rs 40 and Rs 25 respectively Assuming that he can sell all that he buys formulate the above as a linear programming prioblem for maximum profit and solve it graphically

A faniture dealer deals in only two itmes - tables and chairs. He has 'Rs. 50000 invest and has storage place of at most 60 pieces. A table costs Rs. 2500 and chair Rs. 500. He estimates that from the sale of one table, he can make a perfect Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many table and chair he should buy from the available money so as to maximise his total profit assuming that he can sell all the items which he buys.

Fill in the blanks Motion of a needle on a sewing machine is _____ motion

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the particular solution of the differential equation x(x^2-a)...

    Text Solution

    |

  2. Form the differential equation of the family of circles in the seco...

    Text Solution

    |

  3. A dealer wishes to purchase a number of fans and sewing machines. He h...

    Text Solution

    |

  4. Find the area of the region included between the parabola y^2=x and...

    Text Solution

    |

  5. Evaluate: int0^pi(x dx)/(a^2cos^2\ \ x+b^2sin^2\ \ x)

    Text Solution

    |

  6. Coloured bills are distributed in three bags as shown in the follow...

    Text Solution

    |

  7. Find the shortest distance between the following two lines: vec r=...

    Text Solution

    |

  8. The scalar product of the vector hat i+\ hat j+\ hat k\ with the ...

    Text Solution

    |

  9. Find the equation of the plane determined by the points (A(3,-1,\ 2...

    Text Solution

    |

  10. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dxdot

    Text Solution

    |

  11. Find the equation of line through the intersection of lines 3x+4y=7 an...

    Text Solution

    |

  12. Differentiate the following with respect to x : x^(sinx)+(sinx)^(cosx)

    Text Solution

    |

  13. Write the differential equation formed from the equation y=m x+c , ...

    Text Solution

    |

  14. If vec a is a unit vector and ( vec x- vec a)dot( vec x+ vec a)=24 , ...

    Text Solution

    |

  15. If A is a square matrix and |A| =2, then write the value of |A A ...

    Text Solution

    |

  16. If A=|[3, 10],[ 2, 7]|, then write A^(-1)

    Text Solution

    |

  17. Write the value of sin(2sin^(-1)(3/5)) .

    Text Solution

    |

  18. If A is a 3xx3 matrix, whose elements are given by a(i j)=1/3|-3i+j...

    Text Solution

    |

  19. Write the principal value of tan^(-1)(tan((9pi)/8))

    Text Solution

    |

  20. For any three vectors vec a ,\ vec b and vec c , write the value...

    Text Solution

    |