Problem $3\mathrm{.}4($a$)$

Consider the following limit order book for a share of stock. The last trade in the stock occurred at a price of $$55.$

$\backslash$table$[[$Limit Buy Orders,Limit Sell Orders$],[$Price$,$Shares,Price,,Shares$],[$$$54\mathrm{.}75,400,$$$54\mathrm{.}80,-,150],[54\mathrm{.}70,700,54\mathrm{.}85,,150],[54\mathrm{.}65,400,54\mathrm{.}90,,300],[54\mathrm{.}60,200,54\mathrm{.}95,,150],[53\mathrm{.}65,500,,,]]$

If a market buy order for $150$ shares comes in$,$ at what price will it be filled? $($Round your answer to $2$ decimal places.$)$

After the first market, buy order for $150$ shares is filled at what price would the next market by order for the same number of shares be filled? $($ round your answer to $2$ Decimal places$)$

If you were a security dealer, would you want to increase your inventory for the stock? yes or no