Call auctions and price impacts. Consider a stock that trades in a call

auction market. Just before the call auction clears, the following orders are

submitted to the market:

$1.$ Sell limit orders: $5$ shares at prices $$50,$ $$52,$ $$53,$ $$54,$ $$55,$ $$56,$ $$57,$

and $$58.$

$2.$ Buy limit orders: $20$ shares at $$55,20$ shares at $$54,5$ shares at $$53,$

$20$ shares at $$52,20$ shares at $$51,$ and $20$ shares at $$50.$

a$.$ If no additional order is submitted, what is the clearing price for the

stock? How many shares are traded at this price? What is the bid$-$ask

spread afer the call auction?