Lee Retailing Company prices its products by adding $30\%$ to its cost. Lee anticipates sales of $$536,250$ in July, $$546,000$ in August, and $$468,000$ in September. Lee's policy is to have on hand enough inventory at the end of the month to cover $25\%$ of the next month's sales. What will be the cost of the inventory that Lee should budget for purchase in August?

Select one:

a$.$ $$382,200$

b$.$ $$405,000$

c$.$ $$420,000$

d$.$ $$510,000$