Fraser's Ridge, Inc. is a retailer of building supplies in North Carolina. In the current$$ year, actual May sales revenue totaled$$ $$500,000$ and the cost of these sales was$$ $$100,000.$ June sales are expected to increase by$15\%$ over the sales of$$ May, and July sales are expected to be grow by$20\%$ over the sales of June. August sales are anticipated to be$$ $$450,000.$ Prices are set to achieve a $55\%$ gross profit.

The company wants to maintain a safety stock in their ending inventory equal to$30\%$ of next$$ month's cost of sales. The ending inventory requirement was met at the end of May. Accounts payable consist solely of inventory purchases. Purchases from suppliers carry payment terms of net $30.$ What are Fraser's Ridge's expected cash disbursements in$$ August?

Question $6$ options:

$$278,100$

$$274,275$

$$247,500$

$$141,750$

$$177,625$