COPY: Transportation Problems in Linear Programming
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Questions and Answers

What is the purpose of Phase I in the solution of a transportation problem?

  • To calculate the transportation costs
  • To obtain the initial basic feasible solution (correct)
  • To iterate the Vogel Approximation Method
  • To obtain the optimal basic solution

    • What method is NOT used for obtaining the Initial Basic Feasible Solution in transportation problems?

  • North West Corner Rule
  • Stepping Stone Method (correct)
  • Least Cost Method
  • Vogel Approximation Method

    • What characterizes a loop in the context of a transportation problem?

  • All cells lie in the same column
  • Contains less than 4 cells
  • Contains at least 4 different cells (correct)
  • All cells lie in the same row

    • According to the provided text, which method is used for obtaining the Optimum Basic Solution in a transportation problem?

    <p>Stepping Stone Method</p> Signup and view all the answers

    In a balanced transportation problem with 3 supply points and 4 demand points, how many variables should contain no loop to yield a basic solution?

    <p>5</p> Signup and view all the answers

    Why do the cells represented by a loop in a transportation problem indicate an issue?

    <p>Due to their non-feasibility in forming the basis for a solution</p> Signup and view all the answers

    What is the primary objective of applying the transportation problem?

    <p>To minimize shipping costs</p> Signup and view all the answers

    What type of transportation problem is relatively easy to solve due to binding constraints?

    <p>Balanced transportation problem</p> Signup and view all the answers

    How is a transportation problem balanced when the total supply exceeds the total demand?

    <p>By creating a dummy demand point</p> Signup and view all the answers

    What happens if the total supply is less than the total demand in a transportation problem?

    <p>Demand may be left unmet</p> Signup and view all the answers

    What is a transportation tableau used for in a transportation problem?

    <p>To summarize relevant data</p> Signup and view all the answers

    How are shipments to a dummy demand point in a transportation problem assigned?

    <p>At a cost of zero</p> Signup and view all the answers

    What is the primary objective in a transportation problem?

    <p>To minimize the cost of distributing a product</p> Signup and view all the answers

    Why is the simplex method not suitable for solving transportation problems?

    <p>Because of its special structure</p> Signup and view all the answers

    What is the relationship between the cost of shipping and the number of units shipped?

    <p>The cost is directly proportional</p> Signup and view all the answers

    What is the representation of the supply at source i?

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

    What is the goal of finding the minimum-cost distribution of a given commodity?

    <p>To minimize cost</p> Signup and view all the answers

    What are the two groups involved in the transportation problem?

    <p>Source centers and destination centers</p> Signup and view all the answers

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