Exam 8: Extension: The Transportation Model

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A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below: A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below:   Which of the following is a constraint for the customer (campaign headquarters)? Which of the following is a constraint for the customer (campaign headquarters)?

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Which of the following is not information needed to use the transportation model?

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A transportation planner has set up the following spreadsheet formulation of a transportation problem: A transportation planner has set up the following spreadsheet formulation of a transportation problem:   This model indicates that it costs ________ dollars to ship one unit from location(s) _______ to location(s) ___. This model indicates that it costs ________ dollars to ship one unit from location(s) _______ to location(s) ___.

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Suppose a decision maker is confronted with the following transportation model scenario: Suppose a decision maker is confronted with the following transportation model scenario:   In the optimal solution, destination A receives how many units? In the optimal solution, destination A receives how many units?

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A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below: A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below:   Which of the following is an objective function for the problem? Which of the following is an objective function for the problem?

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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.

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In a transportation problem with three locations and two destinations, the objective function is as follows: Min 20X11 + 18X21 + 23X31 + 16X12 + 14X22 + 12X32. How much does it cost to ship one unit from location 2 to destination 1?

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The transportation model assumes similar, homogeneous goods.

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A transportation planner has set up the following spreadsheet formulation of a transportation problem:  A transportation planner has set up the following spreadsheet formulation of a transportation problem:   Suppose the output from this formulation is as follows:  \text { Target Cell (Min) }   \begin{array}{cccc} \hline \text { Cell } & \text { Name } & \text { Original Value } & \text { Final Value } \\ \hline \$ E \$ 17 & \text { Total Cost } & 0 & 680 \\ \hline \end{array}     \text { Adjustable Cells }   \begin{array}{lrrr} \hline \text { Cell } & \text { Name } & \text { Original Value } & \text { Final Value } \\ \hline \text { \$E\$12 } & \text { From I to A } & 0 & 0 \\ \hline \text { SF\$12 } & \text { From I to B } & 0 & 20 \\ \hline \text { \$G\$12 } & \text { From I to C } & 0 & 40 \\ \hline \text { SE\$13 } & \text { From II to A } & 0 & 0 \\ \hline \text { \$F\$13 } & \text { From II to B } & 0 & 60 \\ \hline \$ G \$ 13 & \text { From II to C } & 0 & 0 \\ \hline \text { \$E\$14 } & \text { From III to A } & 0 & 30 \\ \hline \$ F \$ 14 & \text { From III to B } & 0 & 0 \\ \hline \$ G \$ 14 & \text { From III to C } & 0 & 30 \\ \hline \end{array}  How many units are shipped from location II to location C? Suppose the output from this formulation is as follows:  Target Cell (Min) \text { Target Cell (Min) } Cell Name Original Value Final Value \ E\ 17 Total Cost 0 680  Adjustable Cells \text { Adjustable Cells } Cell Name Original Value Final Value \E \1 2 From I to A 0 0 SF \1 2 From I to B 0 20 \G \1 2 From I to C 0 40 SE \1 3 From II to A 0 0 \F \1 3 From II to B 0 60 \ G\ 13 From II to C 0 0 \E \1 4 From III to A 0 30 \ F\ 14 From III to B 0 0 \ G\ 14 From III to C 0 30 How many units are shipped from location II to location C?

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The transportation model method for evaluating location alternatives minimizes total:

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Suppose a decision maker is confronted with the following transportation model scenario: Suppose a decision maker is confronted with the following transportation model scenario:   What is the total cost of the optimal solution? What is the total cost of the optimal solution?

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An automobile manufacturer that has eight assembly plants and thousands of dealers throughout the United States can find the optimal distribution plan by using: (I) a linear programming model. (II) the transportation model. (III) weighted factor ratings. (IV) global information systems.

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The transportation method is a linear programming technique. Linearity is present in the following way:

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Which of the following is the information needed to use the transportation model? (I) A list of the sources and each one's capacity (II) A list of the destinations and each one's demand (III) The unit cost of shipping items from each source to each destination

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A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below: A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters. The supplies and demands, and the per-carton transportation costs, are shown below:   Which of the following is a constraint for the suppliers (button producers)? Which of the following is a constraint for the suppliers (button producers)?

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Which of the following is not an assumption of the transportation model?

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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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Suppose a decision maker is confronted with the following transportation model scenario: Suppose a decision maker is confronted with the following transportation model scenario:   What is the total cost of the optimal solution? What is the total cost of the optimal solution?

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Suppose a decision maker is confronted with the following transportation model scenario: Suppose a decision maker is confronted with the following transportation model scenario:   In the optimal solution, how many units are shipped from source II to destination B? In the optimal solution, how many units are shipped from source II to destination B?

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In a transportation problem with three locations and two destinations, the objective function is as follows: Min 20X11 + 18X21 + 23X31 + 16X12 + 14X22 + 12X32. How much does it cost to ship one unit from location 1 to destination 2?

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