Transportation NetworkWarehouseNode $4$Capacity $=0$PlantNode $1$DUODY $=400$customerNode $6$Demand $=400$Node $2$Supply $=300$PlantNode $3$Supply $=100$Customer$-$Demand $=180$WarehouseNode $5$Capacity $=015.)$In the network representation above the arrows between the plants and cities represent the possible flows of electricity from plants to cities. If $(12)$ represents the FLOW from Node $1$ to Node $2,(14)$ represents the flow from Node $1$ to Node $4,$ and so forth, which of the following represents the total INFLOW to Node $3?(13)+(23)+(43)+(53)+(63)+(73)(13)+(23)(13)+(23)+(32)+(31)16.)$When translating this transportation problem to a spreadsheet, we used a matrix to depict the costs associated with shipping along each connection. Which of the following would be an appropriate size matrix for this transportation problem? You must use more than one matrix to depict this network.$)7$ rows and $7$ columns $(49$ cells$)7$ rows and $1$ column $(7$ cells$)$: