GRAPH HELP

I HAVE DONE EVERYTHING ELSE BUT I DONT THINK THE GRAPH IS RIGHT PLEASE DEAR GOD HELP ME

Consider a stock which is currently selling for $$50.$ Construct a two$-$step binomial tree, $1-$month and $2-$months respectively for each of the two steps. The stock market volatility is $30\%,$ the rate of interest is assumed to be $5\%$ and the exercise price is $$52.($i$)$ Calculate the price of an American Put. $(50)($ii$)$ Provide a graphical illustration to demonstrate how the put price and the put payoff change with respect to changes in the stock price. $(50)$ So$=50$ U$=1\mathrm{.}090$ u$=$e$^0^(\text{'})//$T D$=0\mathrm{.}917$ d$=1//$u X$=52$ R$=0\mathrm{.}05$ T$=0\mathrm{.}0830\mathrm{.}1666670^(\text{'})=0\mathrm{.}3$ p$=0\mathrm{.}502533$ p$=($Soe$^$rt $-$ So d$)/$So$($u$-$d$)1-$p $=0\mathrm{.}4974671-$p Binomial Tree illustration $1$ month $2$ months $59\mathrm{.}43443054\mathrm{.}510\mathrm{.}991$ Price of American Put $=3\mathrm{.}537503\mathrm{.}537502$ Exercize is optimal $45\mathrm{.}866\mathrm{.}1442\mathrm{.}063169\mathrm{.}9368425\mathrm{.}924$