The Astro World amusement park has the opportunity to expand its size now $($the end of year $0)$ by purchasing adjacent property for $$250,000$ and adding attractions at a cost of $$550,000.$ This expansion is expected to increase attendance by $30$ percent over projected attendance without expansion. The price of admission is $$30,$ with a $$5$ increase planned for the beginning of year $3.$ Additional operating costs are expected to be $$100,000$ per year. Estimated attendance for the next $5$ years, without expansion, is as follows:

$\backslash$table$[[$Year$,1,2,3,4,5$