$($a$)$ Build a model to calculate the profit of this European put option.

$\backslash$table$[[,$A$,$B$,,$C$],[1,$European Put Option,$],[2],[3,$Parameters,,,$],[4,$Cost of Put Option,$$1\mathrm{.}00,,],[5,$Exercise Price,$$25\mathrm{.}00,,],[6,$Horizon,$6,,],[7],[8,$Price at End of Horizon,$$21\mathrm{.}50,,],[9],[10],[11,$Model,,,$],[12,$Value of the Option,$)>(B8,B5-B8,0,$ev$,],[13,$Cost of Put Option,ev$,,],[14,$Profit per Option,$=812-813,,,],[15,,,,]]$

$($b$)$ Construct a data table that shows the profit per share for a share price in six months between $$10$ and $$30$ per share in increments of $$1\mathrm{.}00.$