Plants in Vienna, Lucerne, Bruhl, and Salzburg produce the same item that is demanded by customers in London, Paris, Milan, and Athens. Customer demand and plant capacity are shown in the bottom row and rightmost column in the table. The cost to ship one unit between each combination of plants and customers is also shown in the table. The corporation wishes to minimize the total transportation costs of this assignment problem. Use the table below to answer the following questions.

-Refer to the scenario above.What of these equations would be part of the appropriate objective function?

Question

Plants in Vienna, Lucerne, Bruhl, and Salzburg produce the same item that is demanded by customers in London, Paris, Milan, and Athens. Customer demand and plant capacity are shown in the bottom row and rightmost column in the table. The cost to ship one unit between each combination of plants and customers is also shown in the table. The corporation wishes to minimize the total transportation costs of this assignment problem. Use the table below to answer the following questions.
 
-Refer to the scenario above.What of these equations would be part of the appropriate objective function?

Quizplus · Accepted Answer

The appropriate objective function would involve the cost of transportation between plants and customers, multiplied by the quantity being shipped. Thus, the equation in choice C correctly represents the cost of shipping from Vienna to London, Paris, Milan, and Athens, multiplied by the quantity being shipped from Vienna. The other choices either do not include the cost of transportation, or do not correctly represent the shipping quantity or destination.

Plants in Vienna, Lucerne, Bruhl, and Salzburg Produce the Same