A Logistics Specialist for Wiethoff Inc $~~~~~~~~~~\text { Destination Assembly Plant }$

A logistics specialist for Wiethoff Inc. must distribute cases of parts from three factories to three assembly plants. The monthly supplies and demands, along with the per-case transportation costs are:
$~~~~~~~~~~\text { Destination Assembly Plant }$
$\begin{array}{rrrrrc} & & \mathbf{1} & \mathbf{2} & \mathbf{3} & \text { Supply } \\\hline & \text { A } & 5 & 9 & 16 & 200 \\{\text { Factory }}& \mathrm{~B} & 1 & 2 & 6 & 400 \\& \mathrm{C} & 2 & 8 & 7 & 200 \\\hline\text { Demand } & & 120 & 620 & 60 &\end{array}$
-What is the objective function for the linear programming formulation of this problem?