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 this tidy table to answer the following question(s).
$$\begin{array} { | l | c | c | c | c | c | }
\hline & \text { London } & \text { Paris } & \text { Milan } & \text { Athens } & \text { Total Capacity } \
\hline \text { Vienna } & \$ 19 & 16 & 3 & 8 & 600 \
\hline \text { Lucerne } & 15 & 17 & 17 & 13 & 500 \
\hline \text { Bruhl } & 13 & 18 & 18 & 7 & 400 \
\hline \text { Salzburg } & 16 & 18 & 18 & 7 & 470 \
\hline \text { Total Demand } & 500 & 450 & 620 & 400 & \
\hline
\end{array}$$
-Formulate an appropriate objective function and constraints to model this as an assignment problem.

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 this tidy table to answer the following question(s).
 $$\begin{array} { | l | c | c | c | c | c | } 
\hline & \text { London } & \text { Paris } & \text { Milan } & \text { Athens } & \text { Total Capacity } \
\hline \text { Vienna } & \$ 19 & 16 & 3 & 8 & 600 \
\hline \text { Lucerne } & 15 & 17 & 17 & 13 & 500 \
\hline \text { Bruhl } & 13 & 18 & 18 & 7 & 400 \
\hline \text { Salzburg } & 16 & 18 & 18 & 7 & 470 \
\hline \text { Total Demand } & 500 & 450 & 620 & 400 & \
\hline
\end{array}$$
-Formulate an appropriate objective function and constraints to model this as an assignment problem.

Quizplus · Accepted Answer

The Answer of 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 this tidy table to answer the following question(s).
 $$\begin{array} { | l | c | c | c | c | c | } 
\hline & \text { London } & \text { Paris } & \text { Milan } & \text { Athens } & \text { Total Capacity } \
\hline \text { Vienna } & \$ 19 & 16 & 3 & 8 & 600 \
\hline \text { Lucerne } & 15 & 17 & 17 & 13 & 500 \
\hline \text { Bruhl } & 13 & 18 & 18 & 7 & 400 \
\hline \text { Salzburg } & 16 & 18 & 18 & 7 & 470 \
\hline \text { Total Demand } & 500 & 450 & 620 & 400 & \
\hline
\end{array}$$
-Formulate an appropriate objective function and constraints to model this as an assignment problem.

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