Transportation Problems and Northwest Corner Method Quiz
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Questions and Answers

In the Northwest Corner Method for solving transportation problems, where does the method start?

  • Northwest corner (correct)
  • Northeast corner
  • Southeast corner
  • Southwest corner
  • What is the first step in the Northwest Corner Method?

  • Skip the cell and move to the next one
  • Adjust the associated supply and demand quantities by adding the allocated quantity
  • Allocate the minimum amount available to the selected cell
  • Allocate the maximum amount available to the selected cell (correct)
  • What should be done when a row or column reaches zero supply or demand in the Northwest Corner Method?

  • Ignore the zero supply or demand and move to the next row or column
  • Double the allocation in that row or column
  • Continue allocating to that row or column
  • Exit the row or the column and cross it out (correct)
  • What is the total cost in the given transportation problem, if the unit costs are $200, $50, $175, $125, $150, and $250 for the respective routes?

    <p>$12,200</p> Signup and view all the answers

    In an unbalanced transportation problem, what does it mean?

    <p>The total supply is less than the total demand</p> Signup and view all the answers

    In the Northwest Corner Method for solving transportation problems, if exactly one row or column is left that is not crossed out, what should be done?

    <p>Stop</p> Signup and view all the answers

    What is the total cost in the given transportation problem, if the unit costs are $200, $50, $175, $125, $150, and $250 for the respective routes?

    <p>$12,200</p> Signup and view all the answers

    In an unbalanced transportation problem, what does it mean?

    <p>The total supply is less than the total demand</p> Signup and view all the answers

    What is the first step in the Northwest Corner Method for solving transportation problems?

    <p>Allocate the maximum amount available to the selected cell and adjust the associated supply and demand quantities by subtracting the allocated quantity</p> Signup and view all the answers

    What may the data given in the transportation problems require in some cases?

    <p>Maximization</p> Signup and view all the answers

    Study Notes

    Northwest Corner Method

    • The method starts at the top-left corner of the cost matrix, where the first supply and demand meet.
    • The first step involves allocating as much supply as possible to the top-left cell while considering the supply and demand constraints.
    • If a row or column reaches zero supply or demand, that row or column is crossed out of consideration for further allocations.
    • In the case where only one row or column remains not crossed out, it must be fully allocated to fulfill the remaining supply or demand.

    Total Cost Calculation

    • Total cost can be calculated by multiplying the unit costs of the routes ($200, $50, $175, $125, $150, $250) by their respective allocations and summing these values.

    Unbalanced Transportation Problems

    • An unbalanced transportation problem occurs when total supply does not equal total demand, requiring adjustments such as adding dummy sources or destinations to balance.

    Additional Considerations

    • Data for transportation problems may require adjustments, such as balancing supply and demand or ensuring all routes are feasible.

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    Description

    Test your knowledge of transportation problems and the Northwest Corner Method with this quiz. Explore steps for allocating maximum quantities and adjusting supply and demand in the tableau.

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