A company is developing a new app that will allow customers to track the progress of their

orders. The website developers charge $10,000$ for every development week and it is estimated

that the design will take $10$ weeks from the start of the design project to the launch of

the website. Once launched, it is estimated that the new site will attract extra business that

will generate profits of $5,000$ per week. However, if the website is delayed by more than five

weeks, the extra profit generated would reduce to $2,000$ per week. How will a delay of five

weeks affect the time when the design will break even in terms of cash flow?