Alabama Atlantic is a lumber company that has three sources of wood and five markets to be supplied. Theannual availability of wood at sources $1,2,$ and $3$ is $15,20,$ and $15$ million board feet, respectively. Theamount that can be sold annually at markets $1,2,3,4,$ and $5$ is $11,12,9,10,$ and $8$ million board feet,respectively.In the past the company has shipped the wood by train. However, because shipping costs have beenincreasing, the alternative of using ships to make some of the deliveries is being investigated. Thisalternative would require the company to invest in some ships. Except for these investment costs, theshipping costs in thousands of dollars per million board feet by rail and by water $($when feasible$)$ would bethe following for each route