A public water utility is trying to decide between two different sizes of pipe for a new water mam. $n250-mm$ line will have an initial cost of $$155,000,$ whereas a $300-mm$ line will cost $$210,000.$ Since there is more head loss through the $250-mm$ pipe, the pumping cost is expected to be $$3000$ more per year than $($the $300-mm$ line$)$ for the $250-mm$ line. If the lines are expected to last for $30$ years, which size should be selected on the basis of a present worth analysis using an interest rate of $10\%$ per year? The following steps are required: $1)$ tabulate the information$/$data given for each option; $2)$ write formula; $3)$ determine factor values; $4)$ complete calculation, and $4)$ present answer.