Cash management is a very important function of managers. Companies need to manage their operations in a way that they can sustain growth and yet not run out of cash.Consider the case of the Red Hamster Manufacturing Corporation:Search tiRed Hamster Manufacturing Corporation has forecasted sales of $$30,000,000$ for next year and expects its cost of goods sold $($COGS$)$ to remain at $80\%$ of sales. Currently, the firm holds $$3,100,000$ in inventories, $$2,300,000$ in accounts r$$ceivable$,$ and $$2,500,000$ in accounts payable.Approximately how long does it take Red Hamster Manufacturing to convert its raw materials to its finished products and then to sell those goods?$($Note: Use $365$ days as the length of a year in all calculations, and round all values to two decimal places.$)$