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 question(s).
$$\begin{array} { | l | c | c | c | c | c | }
\hline & \text { London } & \text { Paris } & \text { Milan } & \text { Athens } & \text { Total Capacity } \
\hline \text { Vienna } & \$ 19 & 16 & 3 & 8 & 600 \
\hline \text { Lucerne } & 15 & 17 & 17 & 13 & 500 \
\hline \text { Bruhl } & 13 & 18 & 18 & 7 & 400 \
\hline \text { Salzburg } & 16 & 18 & 18 & 7 & 470 \
\hline \text { Total Demand } & 500 & 450 & 620 & 400 & \
\hline
\end{array}$$
-What is a suitable constraint?

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 question(s).
 $$\begin{array} { | l | c | c | c | c | c | } 
\hline & \text { London } & \text { Paris } & \text { Milan } & \text { Athens } & \text { Total Capacity } \
\hline \text { Vienna } & \$ 19 & 16 & 3 & 8 & 600 \
\hline \text { Lucerne } & 15 & 17 & 17 & 13 & 500 \
\hline \text { Bruhl } & 13 & 18 & 18 & 7 & 400 \
\hline \text { Salzburg } & 16 & 18 & 18 & 7 & 470 \
\hline \text { Total Demand } & 500 & 450 & 620 & 400 & \
\hline
\end{array}$$
-What is a suitable constraint?

Quizplus · Accepted Answer

The suitable constraint for this assignment problem would be to ensure that the total supply from each plant to all four cities does not exceed the capacity of the plant. Therefore, choice C is the best option as it sets a maximum limit on the total supply from all four cities to the respective plant capacities provided in the table.

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