estimates that it will have $45$ orders in a year, and it must arrange to transport orders $($in less$-$than$-$full containers$)$ by container ship with shippers in Hong Kong and Buenos Aires. The shippers H&M uses have a travel time of $32$ days from Buenos Aires and $14$ days from Hong Kong, and H&M wants its orders to have an average travel time of no more than $21$ days. About $10\%$ of the annual orders from the shipper in Hong Kong are damaged, and the shipper in Buenos Aires damages about $4\%$ of all orders annually. H&M wants to receive no more than $6$ damaged orders each year. H&M does not want to be dependent on suppliers from just one country, so it wants to receive at least $25\%$ of its orders from each country. It costs $$3,700$ per order from China and $$5,100$ per order to ship from Brazil. H&M wants to know how many orders it should ship from each port in order to minimize shipping costs.