Deck 23: Extension 8: The Transportation Model
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Deck 23: Extension 8: The Transportation Model
1
The transportation model method for evaluating location alternatives minimizes total:
A)sources
B)destinations
C)capacity
D)demand
E)shipping cost
A)sources
B)destinations
C)capacity
D)demand
E)shipping cost
E
2
Suppose the output from the above formulation is as follows:
How many units are shipped from location II to location C?
A)0
B)60
C)70
D)80
E)None of the above

A)0
B)60
C)70
D)80
E)None of the above
A
3
An automobile manufacturer that has eight assembly plants and thousands of dealers throughout the United States can find the optimal distribution plan by using:
A)linear programming model
B)transportation model
C)weighted factor rating
D)either A or B
E)Global Information Systems
A)linear programming model
B)transportation model
C)weighted factor rating
D)either A or B
E)Global Information Systems
D
4
The linear programming model of a transportation problem has one goal - the maximization of its objective function.
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5
In a transportation problem with three locations and two destinations, the objective function is as follows: Min 20X11 + 18X21 + 23 X31 + 16X12 + 14X22 + 12X32.How much does it cost to ship one unit from location 1 to destination 2?
A)18
B)12
C)23
D)16
E)14
A)18
B)12
C)23
D)16
E)14
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6
The transportation model assumes shipping cost per unit is the same regardless of the number of units shipped (there are no quantity discounts).
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7
Which of the following are assumptions or requirements of the transportation method? (I) Goods are the same, regardless of source.
(II) There must be multiple sources.
(III) Minimum quantities must be shipped from each source.
(IV) Shipping costs per unit do not vary with the quantity shipped.
A)I and IV
B)II and III
C)I, II, and IV
D)I and III
E)I, II, III, and IV
(II) There must be multiple sources.
(III) Minimum quantities must be shipped from each source.
(IV) Shipping costs per unit do not vary with the quantity shipped.
A)I and IV
B)II and III
C)I, II, and IV
D)I and III
E)I, II, III, and IV
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8
Which of the following is not information needed to use the transportation model?
A)capacity of the sources
B)demand of the destinations
C)unit shipping costs
D)unit shipping distances
E)all of the above are necessary
A)capacity of the sources
B)demand of the destinations
C)unit shipping costs
D)unit shipping distances
E)all of the above are necessary
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9
This model indicates that it costs ________ dollars to ship one unit from location(s) _______ to location(s) ___.
A)60; I; A, B & C
B)30; I, II & III; A
C)5; II; B
D)9; II; A
E)7; III; C
A)60; I; A, B & C
B)30; I, II & III; A
C)5; II; B
D)9; II; A
E)7; III; C
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10
The transportation method is a linear programming technique.Linearity is present in the following way:
A)The cost of goods shipped from any source to any destination is a linear function of quantity shipped.
B)The cost of goods shipped from any source to any destination is a linear function of the cost per unit.
C)The total cost associated with a given plan is a linear function of shipping costs.
D)Cell evaluations require linear horizontal movements through the matrix.
E)Cell evaluations are linear.
A)The cost of goods shipped from any source to any destination is a linear function of quantity shipped.
B)The cost of goods shipped from any source to any destination is a linear function of the cost per unit.
C)The total cost associated with a given plan is a linear function of shipping costs.
D)Cell evaluations require linear horizontal movements through the matrix.
E)Cell evaluations are linear.
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11
Which of the following is an objective function for the problem?
A)
B)
C)
D)
E)None of the above.
A)

B)

C)

D)

E)None of the above.
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12
The transportation model is a special type of linear regression model.
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13
For a transportation model to be used, more than one location must be considered.
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14
The transportation model assumes similar, homogeneous goods.
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15
Which of the following is a constraint for the customer (campaign headquarters)?
A)2X11 + 9X21 + X31 = 20
B)5X12 + 3X22 + 8X32 = 70
C)X11 + X12 + X13 = 50
D)X12 + X22 + X32 = 70
E)all of the above
A)2X11 + 9X21 + X31 = 20
B)5X12 + 3X22 + 8X32 = 70
C)X11 + X12 + X13 = 50
D)X12 + X22 + X32 = 70
E)all of the above
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16
In a transportation problem with three locations and two destinations, the objective function is as follows: Min 20X11 + 18X21 + 23 X31 + 16X12 + 14X22 + 12X32.How much does it cost to ship one unit from location 2 to destination 1?
A)18
B)12
C)23
D)16
E)None of the above.
A)18
B)12
C)23
D)16
E)None of the above.
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17
Which of the following is not an assumption of the transportation model?
A)Actual supply and demand must be equal.
B)Shipping costs per unit are constant per unit.
C)Items to be shipped are homogeneous.
D)There is only one transportation route between each source and destination.
E)There is only one transportation mode between each source and destination.
A)Actual supply and demand must be equal.
B)Shipping costs per unit are constant per unit.
C)Items to be shipped are homogeneous.
D)There is only one transportation route between each source and destination.
E)There is only one transportation mode between each source and destination.
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18
Which of the following is a constraint for the suppliers (button producers)?
A)
B)
C)
D)
E)all of the above
A)

B)

C)

D)

E)all of the above
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19
Which of the following is the information needed to use the transportation model?
A)A list of the sources and each one's capacity
B)A list of the destinations and each one's demand
C)The unit cost of shipping items from each source to each destination
D)All of the above
E)None of the above
A)A list of the sources and each one's capacity
B)A list of the destinations and each one's demand
C)The unit cost of shipping items from each source to each destination
D)All of the above
E)None of the above
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20
Dummy rows or columns to equate supply and demand are available but not required in linear programming models of transportation problems.
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