Financial ratios in the forecasting process

Rouster and Sideways Corp. currently has $$695,000$ in accounts receivable and generated $$4,870,000$ in sales $($all on credit$)$ during the year that just ended. The firm's days sales outstanding $($DSO$)$ is days. Use $365$ days as the length of a year in all calculations.

Rouster and Sideways Corp.$\text{'}$s CFO is unhappy with its DSO and wants to improve collections next year. Sales are expected to grow by $15\%$ next year, and the CFO wants to lower the DSO to the industry average of $30$ days. How much accounts receivable is the firm expected to carry?

$$506,347$

$$552,378$

$$437,299$

$$460,315$