Quantitative Problem: Winston Inc. is trying to determine the effect of its inventory turnover ratio and days sales outstanding on its cash conversion cycle. Winston's $2015$ sales $($all on credit$)$ were $$150,000$ and its cost of goods sold was $75\%$ of sales. It turned over its inventory $8\mathrm{.}98$ times during the year. Its receivables balance at the end of the year was $$13,121\mathrm{.}83$ and its payables balance at the end of the year was $$7,407\mathrm{.}27.$ Using this information calculate the firm's cash conversion cycle. Do not intermediate calculations. Round your answer to the nearest whole number.

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