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Total demand for a transportation model is 15 while total supply is 20.Which of the following should be included?


A) a dummy source of 20 units
B) a dummy destination of 5 units
C) a dummy source of 5 units
D) a dummy destination of 20 units
E) a dummy destination of 35 units

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Consider the transportation problem and its initial solution in the table below.What is the improvement index for the empty cell Source 1 - Destination 3? Consider the transportation problem and its initial solution in the table below.What is the improvement index for the empty cell Source 1 - Destination 3?   A) 0 B) -14 C) -23 D) -70 E) 115


A) 0
B) -14
C) -23
D) -70
E) 115

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What is transportation modeling?

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Transportation modeling finds ...

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A transportation problem has an optimal solution when:


A) all of the improvement indices are greater than or equal to zero.
B) all demand and supply constraints are satisfied.
C) the number of filled cells is one less than the number of rows plus the number of columns.
D) all the squares are used.
E) all origin-destination combinations have been made equally low in cost.

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The main difference between the intuitive lowest-cost method and the northwest-corner rule is that:


A) the intuitive lowest-cost method always generates a better solution.
B) the northwest-corner rule is faster.
C) the northwest-corner rule ignores cost.
D) only the intuitive lowest-cost method generates an optimal solution.
E) None of the above is accurate.

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When using the stepping-stone method,the improvement index for an unused cell equals the shipping cost associated with that cell.

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The transportation model is an excellent tool for minimizing shipping costs among existing facilities,but it is not useful when firms consider new facility locations.

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A firm has established a distribution network for the supply of a raw material critical to its manufacturing.Currently there are two origins for this raw material,which must be shipped to three manufacturing plants.The current network has the following characteristics: A firm has established a distribution network for the supply of a raw material critical to its manufacturing.Currently there are two origins for this raw material,which must be shipped to three manufacturing plants.The current network has the following characteristics:   The firm has identified two potential sites for a third raw material source;these are identified as Candidate A and Candidate B.From A,the costs to ship would be $9 to Plant 1,$10 to Plant 2,and $12 to Plant 3,respectively.From B,these costs would be $11,$14,and $8,respectively.The new source,wherever it is located,will have a capacity of 500 units.Set up this problem as two separate transportation matrices.(Do not solve the problem. ) The firm has identified two potential sites for a third raw material source;these are identified as Candidate A and Candidate B.From A,the costs to ship would be $9 to Plant 1,$10 to Plant 2,and $12 to Plant 3,respectively.From B,these costs would be $11,$14,and $8,respectively.The new source,wherever it is located,will have a capacity of 500 units.Set up this problem as two separate transportation matrices.(Do not solve the problem. )

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The setup requires t...

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A transportation model uses at least 10 sources and 100 destinations.If the ratio of sources to destinations remains constant,does the maximum % of cells used by the optimum solution remain constant? Why or why not?

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Students should approach this problem in...

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Which of the following combinations of sources and destinations would fill no more than 25% of cells with quantities to be shipped for the optimal solution?


A) 1 to 1
B) 1 to 4
C) 4 to 1
D) 8 to 2
E) 5 to 16

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The total cost of the optimal solution to a transportation problem:


A) is calculated by multiplying the total supply (including any dummy values) by the average cost of the cells.
B) cannot be calculated from the information normally included in a transportation problem.
C) can be calculated based only on the entries in the filled cells of the solution.
D) can be calculated from the original northwest-corner solution.
E) is found by multiplying the amounts in each cell by the cost for that cell for each row and then subtracting the products of the amounts in each cell times the cost of each cell for the columns.

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Consider the transportation problem and its optimal solution in the tables below.The cell Source 3 - Destination 3 is currently empty.What would be the change in the total shipping cost if the largest possible amount were shipped using that route,leaving all the supply and demand conditions unchanged? Consider the transportation problem and its optimal solution in the tables below.The cell Source 3 - Destination 3 is currently empty.What would be the change in the total shipping cost if the largest possible amount were shipped using that route,leaving all the supply and demand conditions unchanged?   A) 0 B) fifty units C) a decrease of $9 D) an increase of $450 E) an increase of $630


A) 0
B) fifty units
C) a decrease of $9
D) an increase of $450
E) an increase of $630

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For the transportation problem below,construct an initial feasible solution using the intuitive method. For the transportation problem below,construct an initial feasible solution using the intuitive method.

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The lowest cost in the matrix is 7;assig...

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Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the total shipping cost. Consider the transportation problem in the data set and optimal solution below.Verify by hand or by calculator (show your work)the value of the total shipping cost.

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The value of the tot...

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In a transportation problem,degeneracy means that:


A) the problem was improperly constructed,and it must be reformulated.
B) the assumptions of the transportation model have not been met.
C) the number of filled cells is too small to allow the calculation of improvement indices.
D) the total supply and the total demand are unbalanced.
E) the number of origins is not equal to the number of destinations.

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To handle degeneracy,a very small quantity is placed in one of the unused squares.

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Upon completion of the northwest-corner rule,which source-destination cell is guaranteed to be occupied?


A) top-left
B) top-right
C) bottom-left
D) bottom-right
E) the cell with the lowest shipping cost (or at least one of them if there's a tie)

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For the data below,construct an initial feasible solution using the northwest-corner rule. For the data below,construct an initial feasible solution using the northwest-corner rule.

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Step 1: The smaller value at the interse...

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The intuitive method of generating an initial solution has different results for each problem solver because "intuition" varies from person to person.

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In a minimization problem,a positive improvement index in a cell indicates that:


A) the solution is optimal.
B) the total cost will increase if units are reallocated to that cell.
C) there is degeneracy.
D) the total cost will decrease if units are reallocated to that cell.
E) the problem has no feasible solution.

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