Bank has loaned unsecured money to Retailer, which still owes 700,000 . Bank becomes nervous that ...

Bank has loaned unsecured money to Retailer, which still owes 700,000 . Bank becomes nervous that Retailer is on the verge of bankruptcy, and sends a notice of security interest to Retailer, claiming a security interest in all inventory and real estate of Retailer. Retailer does not respond. Bank files its notice in the state's central filing office. When Retailer goes bankrupt, Bank
 a. Has a perfected security interest in the inventory but not the real estate.
  b. Has a perfected security interest in the real estate but not the inventory.
  c. Has a perfected security interest in both the real estate and the inventory.
  d. Has no security interest in either the real estate or the inventory.
  e. Has an unperfected security interest in both the real estate and the inventory.