$5.$ The following bids are made in a Dutch auction for $180,000$ shares:

Bidder Number of Shares Price

A $50,000$ $$55$

B $30,000$ $$75$

C $40,000$ $$60$

D $60,000$ $$45$

E $50,000$ $$50$

F $20,000$ $$47$

What is the price paid by investors, and how many shares does each bidder receive?