Stockton Mineral Operations, Incorporated, $($SMO$)$ currently has $520,000$ shares of stock outstanding that sell for $$50$ per share. Assume no market imperfections or tax effects exist. Determine the share price and new number of shares if: $($Do not round intermediate calculations. Round your price per share answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16,$ and shares outstanding answers to the nearest whole number, e$.$g$.,32.)$

a$.$ SMO has a four$-$for$-$three stock split?

b$.$ SMO has a $20$ percent stock dividend?

c$.$ SMO has a $45\mathrm{.}5$ percent stock dividend?

d$.$ SMO has a three$-$for$-$seven reverse stock split?

e$.$ Determine the new number of shares outstanding in parts $($a$)$ through $($d$).$