Tri$-$State Manufacturing has three factories$(1,2,$ and$3)$ and three warehouses $($A$,$ B$,$ and $$C$).$ The following table shows the shipping costs between each factory and$$ warehouse, the factory manufacturing capabilities$($in thousands$),$ and the warehouse capacities$($in $$thousands$).$ Management would like to keep the warehouses filled to capacity in order to generate demand. Using computer software for solving LP$,$ the optimal solution achieved is