On the basis of the following data, what is the estimated cost of the inventory on May $31$ using the retail method?

Cost Retail

May $1$ Inventory $$24,420$ $$40,700$

May $1-31$ Purchases $40,51064,570$

May $1-31$ Sales $92,490$

Do not round intermediate calculations. Round your final answer to the nearest whole dollar.

a$.$ $$27,560$

b$.$ $$15,730$

c$.$ $$23,613$

d$.$ $$7,883$