Textbook $4\mathrm{.}3\mathrm{.}3-$Calculate the "tradeoff" based on a length of $100m$ of pipe.

Hint: Your answer should be able to be phrased "For a $200mm$ diameter pipe of length $100m,$ purchasing Wrought Iron results in $xm$ less headloss but $Y\%$ more cost than Galvanized Iron"

$4\mathrm{.}3\mathrm{.}3$ Two materials $($wrought iron, $k_s=0\mathrm{.}046mm,$ and galvanized iron, $k_s=0\mathrm{.}15mm)$ are being considered for a new pipeline. The expected discharge is $0\mathrm{.}15\frac{m^3}{s}.$ Both the headloss and cost are sought for. Wrought iron pipe costs $5$ cents more than the galvanized iron pipe for every meter length of the pipe. Determine the tradeoff between the cost and the energy head for as $15C.$