Allan purchased $500$ shares of stock on margin for $$31\mathrm{.}75$ a share and sold the shares $6$

months later for $$34\mathrm{.}50$ per share. The initial margin was $65\%$ and the maintenance

margin was $30\%.$ The interest rate on the margin loan was $8\mathrm{.}5\%.$ He received no

dividend income. What is the minimum price that the stock could fall before Allan

received a margin call?