ZAMECH purchases sub$-$assemblies A and B from two suppliers located in Syracuse and New Orleans respectively for its assembly plants in Seattle and San Jose, both of which operate $360$ days a year. Assembly plant in Seattle makes $60$ products per day, whereas the plant in San Jose $80$ products per day. The product assembled in Seattle requires two units of sub$-$assembly A and one unit of sub$-$assembly B$,$ whereas the product assembled in San Jose requires one unit of sub$-$assembly A and two units of sub$-$assembly B$.$Trucks have a capacity of $3,000$ units of either sub$-$assembly and cost $$4,000$ per shipment. On$-$site and in$-$transit inventory holding cost per sub$-$assembly per day is $$0\mathrm{.}6.$ What are the annual total logistics $($including transportation, in$-$transit inventory, and on$-$ site inventory$)$ cost$,$ if the optimal shipment quantity for a milk$-$run delivery scheme is to be used? Under such a scheme, a truck would pick the sub$-$assemblies up first from Syracuse then from New Orleans and drop them off in San Jose first and in Seattle next. Assume that it takes exactly $3$ days to drive from Syracuse to New Orleans, exactly $3$ days from New Orleans to San Jose and exactly $3$ days from San Jose to Seattle.