$[$Shanghai Express, Follow$-$up to Q$7]$ Suppose Alex Zhang took over the retailing operation under a revenue sharing contract as in Q$7.$ If Alex Zhang was able to scrap the unsold newspapers at $3$ cents per copy, and the revenue share was $50\%,$ how many copies should Alex Zhang order $($from Maria Chen$)$ so as to maximize his expected profit?

Group of answer choices

$600$

$596$

$689$

$704$

$674$