The Pike Syndicate develop a cutting$-$edge of method of efficiently extracting spice from the Spice Mines of Kessel. This method had the following net cash flow series during its first $5-$year test period. $($a$)$ Using Descartes rule of signs & Norstrom's criterion, determine the number of possible i$*$ values; $($b$)$ Develop the PW ROR equation to find the allpossible $i^{**}$ values $($using the net cash flow$)$; $($c$)$ Solve for and state $i^{**}(d)$ assuming a MARR of $12\%,$was this project economically viable?

$\backslash$table$[[$Year$,$Net Cash Flow,,$\backslash$table$[[$Cumulative$],[$Cashflow$,$ $$]]],[0,-50,000,-50,000$