For the pipe optimization problem, rerun the problem $($optimization and sensitivity test$)$ assuming that the water is replaced with the glycerol. Most of the flow regime will be Laminar $($then friction factor $=\frac{64}{R}e)$ and some regions will be turbulent $($Use the friction factor formula for turbulent flow$).$ Pipe length: $2000$ m $,$ Carbon Steel, schedule $40,$ roughness $=4\mathrm{.}512e-5$ with minor losses with $4$ gate valves, $2$ bufferfly valves, $12$ elbows, $20$ straight tees$($a$)$ Using the given conditions above, determine the optimal diameter of the pipe to reduce the total cost.$($b$)$ Run the sensitivity test when inner diameter of the pipe from $0\mathrm{.}2$ to $0\mathrm{.}5$ meter. Present a graph that shows fixed, operation, and total cost vs$.$ in$-$diameter.$($c$)$Rerun this problem without AspenPlus. You may use the Matlab or Python code.