Suppose a developer is interested in building a new apartment community. The developer$$s market research has determined that the target market segment potential in year $1$ consists of $100$ households. The developer believes that the target market segment potential will grow by $6\%$ annually over the next five years. If the developer projects a capture rate of $25\%$ for each of the next five years, how many units does the developer plan on selling by the end of year $5?$