The Treasury plans to issue $100 million of 52-day Treasury Bills using a Dutch auction system.

They received $55 million in non-competitive bids.

They also received the following competitive bids:

Broker-dealer A bids $40,000,000 at 11.70%

Broker-dealer B bids $14,000,000 at 11.50%

Broker-dealer C bids $18,000,000 at 10.80%

Broker-dealer D bids $15,000,000 at 10.50%

Broker-dealer E bids $18,000,000 at 9.90%

Broker-dealer F bids $17,000,000 at 9.60%

At what rate will the auction clear and what amounts do each broker-dealer receive?