A company needs to supply customers in 3 cities from its 3 warehouses. The supplies, demands and shipping costs are shown below.
$$\begin{array} { c c c c c }
&{\quad\quad \text { Destination } } & \
\text { Warehouse } & 1 & 2 & 3 & \text { Supply } \
\hline 1 & 34 & 60 & 36 & 400 \
2 & 70 & 40 & 50 & 300 \
3 & 56 & 40 & 32 & 200 \
\hline \text { Demand } & 500 & 300 & 200 &
\end{array}$$ The company has identified the following goals:
Goal 1: The company would like to come as close as possible to satisfying its customers demand.
Goal 2:It would also like to ensure that the cost is approximately $ \$ 290.000 $
Formulate a goal programming model of this problem.

Question

A company needs to supply customers in 3 cities from its 3 warehouses. The supplies, demands and shipping costs are shown below.
 $$\begin{array} { c c c c c } 
&{\quad\quad \text { Destination } } & \
\text { Warehouse } & 1 & 2 & 3 & \text { Supply } \
\hline 1 & 34 & 60 & 36 & 400 \
2 & 70 & 40 & 50 & 300 \
3 & 56 & 40 & 32 & 200 \
\hline \text { Demand } & 500 & 300 & 200 &
\end{array}$$ The company has identified the following goals:
 Goal 1: The company would like to come as close as possible to satisfying its customers demand.
Goal 2:It would also like to ensure that the cost is approximately $ \$ 290.000 $
 Formulate a goal programming model of this problem.

Quizplus · Accepted Answer

The Answer of A company needs to supply customers in 3 cities from its 3 warehouses. The supplies, demands and shipping costs are shown below.
 $$\begin{array} { c c c c c } 
&{\quad\quad \text { Destination } } & \
\text { Warehouse } & 1 & 2 & 3 & \text { Supply } \
\hline 1 & 34 & 60 & 36 & 400 \
2 & 70 & 40 & 50 & 300 \
3 & 56 & 40 & 32 & 200 \
\hline \text { Demand } & 500 & 300 & 200 &
\end{array}$$ The company has identified the following goals:
 Goal 1: The company would like to come as close as possible to satisfying its customers demand.
Goal 2:It would also like to ensure that the cost is approximately $ \$ 290.000 $
 Formulate a goal programming model of this problem.

A Company Needs to Supply Customers in 3 Cities from Its