Use the following information for questions $12$ and $13$ the following information was available from the inventory records of rich company for January balance at January one $3000$ units unit cost $$9\mathrm{.}77$ total cost $29,310$ purchases January $6,2000$ unit cost $$10\mathrm{.}30$ total cost $20,600$ January $262700$ unit cost $$10\mathrm{.}71$ total cost $28,917$ sales January $7,2500$ January $31,4000$ balance and January $311200$ assuming that Rich uses periodic inventory what should be the inventory at January $31$ using the weighted average inventory method rounded to the nearest dollar?