The designated team$($s$)$ do the following Class Problems in accordance with Session $0.$

You are the project manager for a software development project for an updated management system.$$The cost of doing it in$-$house is $$$$27,000.$ You estimate you'll spend $$2,000$ per month updating the software with client information, government regulations, and maintenance.

You know that a contractor$$do the programming$$for your company and charge a fee based on the number of$$personnel using the program every month. This contractor will charge you $$4$ per month per user of the accounting system. You will have roughly $1,000$employees using the system each month.$$You$\text{'}$ll need some additional in$-$house resources$$to manage the contract, per se$,$ at a rate of an extra$$ $$1,100$ per month.

$($a$)$ How many months can you use the system before it's better to do it in$-$house instead of hiring a contractor.$$Show your work! USE THE ALGEBRAIC FORMULATION OF THE PROBLEM! In other words, set the cost of contracting it out equal to the cost of doing it in$-$house, and solve for the break$-$even time.

$($b$)$ Outsourcing involves more than just possibly saving money. List at least five other factors that should be considered in making this outsourcing decision.