Problem $6(25)$: consider a software development project where the team has proposed a design and estimates that it will require $200,000$ lines of code to complete. The average cost to the company for an engineer is $$110,000$ per year, including salary, benefits, and overhead. Estimate $($a$)$ the number of engineers needed to complete the project within $18$ months, and $($b$)$ the labor costs. $($Hint: use IBM cost model$)$