You are bearish on Telecom and decide to sell short $100$ shares at the current market price of $$30$ per share.

Required:

a$.$ How much in cash or securities must you put into your brokerage account if the broker$$s initial margin requirement is $50\%$ of the value of the short position?

b$.$ How high can the price of the stock go before you get a margin call if the maintenance margin is $30\%$ of the value of the short position? $($Round your answer to $2$ decimal places.$)$