You buy $100$ shares of AAPL stock at $$300/$share$,$ in a $70\%$ initial margin account with a maintenance margin of $45\%.$ Answer the following:

If the stock price goes down to $$150/$share$,$ what is the new margin position?

What amount of cash must be deposited to satisfy the margin call?

If you are unable to provide cash and the broker decides to sell the equity at $$150/$share to satisfy the margin call, what amount of stock would be sold?