Michael Strauss is a day trader and closes his accounts at the

end of each business day. He puts a limit order to buy $100$ shares

of Starbucks at a price of $$55,$ although the stock is currently

selling at $$57.$ What is the best outcome that Michael can generate

in each of the following situations and why?

a$.$ The stock price falls to $$53$ per share during midday and then

rises to $$59$ at the end of the day.

b$.$ The stock price falls to $$56$ per share and stays at this price

until the end of the day.

c$.$ The stock price rises to $$61$ per share during midday and then

falls to $$54$ at the end of the day.