I have the study case $1$ decision trees for decision making.I also have the following updated data about probabilities:marketing estimates indicate a $60\%$chance of a large market in the long run and a $40\%$chance of a low demand,developing initially as follows:i$)$initially high demand,sustained high,$50\%,$ii$)$initially high demand,long term low,$20\%,$iii$)$Initially low demand and continuing low,$20\%,$iv$)$initially low demand and subsequently high,$10\%.$The chance that demand initially will be high is $60\%,$the chance that will be initially low is $40\%,$if demand is high initially,the chances that it will continue at a high level is $71,43\%$and finally if sales in the initial period are low,the chances that sales in the subsequent periods will be low is $66\mathrm{.}67\%.$construct the decision tree taking into consideration that since initially low demand can be subsequently followed by high demand,after the initial $2$years period,the choice to expand the plant must be considered.Name all decision nodes as D$1,$D$2$etc$,$and all event nodes as E$1,$E$2$etc$.$Then put all necessary information on event branches$($probabilities$)$and terminal branches$($payoffs$).$please find the payoff and I want them all in details.