One share of equity in Mullen Inc. is currently trading at $$49$ per share. In one year, the price is expected to $(1)$ rise to $$65,$ or $(2)$ fall to $$40.$ You are interested in a call option on Mullen, Inc. The option hasfa strike price of $$55$ and expires in $1$ year. The current risk$-$free rate for the year is $3\%.$ As you can calculate, the binomial price for this option is about $$4\mathrm{.}07.$ However, an options trader is quoting a price of $$4\mathrm{.}50$ to buy or sell the option. And you know how to arbitrage this.

You take a long position in the replicating portfolio, by purchasing $q,$ shares of Mullen, Inc. and borrowing $$15\mathrm{.}53,$ and you short $($sell$)$ the option for $$4\mathrm{.}50.$

How many shares of Mullen, Inc. did you purchase?

Enter your answer in decimal format to $2$ decimal places. For example, if your answer is $0\mathrm{.}5722,$ enter $"0\mathrm{.}57".$