Answer:
The Fed can use the tool of buying government securities to increase the money supply by $300 billion. Here's how:
When the Fed buys government securities from banks, it pays for them by crediting the banks' reserve accounts with the Fed. This increases the amount of reserves that banks have available to lend out. Because the reserve ratio is 0.05, banks can lend out up to 20 times the amount of reserves they hold.
So, if the Fed buys $300 billion of government securities from banks, this increases the reserves held by banks by $300 billion. Banks can then lend out up to 20 times this amount, or $6 trillion. This increases the overall money supply by $300 billion in reserves plus $6 trillion in loans, for a total increase of $6.3 trillion.
Selling government securities would have the opposite effect, reducing the reserves available to banks and decreasing the money supply. Increasing the reserve ratio would also reduce the amount of lending and decrease the money supply.