A Company Needs to Supply Customers in 3 Cities from Its

Essay

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.