Chastain Corporation is trying to determine the effect of its inventory turnover ratio and days sales outstanding $($DSO$)$ on its cash conversion cycle. Chastain's $2016$ sales $($all on credit$)$ were $$225000$; its cost of goods sold is $80\%$ of sales; and it earned a net profit of $5\%,$ or $$11250.$ It turned over its inventory $6$ times during the year, and its DSO was $38\mathrm{.}5$ days. The firm had fixed assets totaling $$31000.$ Chastain's payables deferral period is $45$ days. Assume $365$ days in year for your calculations.