Question $2$: A manager must make a decision on shipping. There are two shippers, A and $B.$ Both offer a two$-$day rate: A for $$512$ and $B$ for $$530.$ In addition, A offers a three$-$day rate of $$480$ and a nine$-$day rate of $$411,$ and $B$ offers a four$-$day rate of $$465$ and a seven$-$day rate of $$446.$ Annual holding costs are $39$ percent of unit price. Four hundred and ten boxes are to be shipped, and each box has a price of $$72.$ Which shipping alternative would you recommend?