$11-11$ Sell or process further Northern Lumber Company incurs a cost of $$250$ per hundred board feet $($hbf$)$ in processingcertain $$rough$-$cut$$ lumber, which it sells for $$300$ per hbf$.$ An alternative is to produce a $$finishedcut$$ at a total processing cost of $$315$ per hbf$,$ which can be sold for $$375$ per hbf$.$ Prepare adifferential analysis dated April $21$ on whether to sell rough$-$cut lumber $($Alternative $1)$ or processfurther into finished$-$cut lumber $($Alternative $2).$