Christie Corporation is trying to determine the effect of its inventory turnover ratio and days salesoutstanding $($DSO$)$ on its cash flow cycle. Christie's $2012$ sales $($all on credit$)$ were $$150,000$; its cost of goods sold is $80\%$ of sales; and it earned a net profit of $6\%,$ or $$9,000.$ It turned over its inventory $6$ times during the year, and its DSO was $36\mathrm{.}5$ days. The firm had fixed assets totaling $$35,000.$ Christie's payables deferral period is $40$ days.