Amy Lloyd is interested in leasing a new Honda and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed$-$end $36-$month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per$-$mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow:

$\backslash$table$[[$Dealer$,$Monthly Cost,Mileage Allowance,Cost$/$Additional Mile$],[$Hepburn Honda,$$299,36,000,$$$0\mathrm{.}15$

Railways is bidding on a project that it figures will cost $$300,000$ to perform. To obtain $25\%$ profit, Railways will bid bidding on the projefit of $$75,000.$ However, it has been learned that another company, Transrail, is also considering on this project and is$.$ If Transrail does submit a bid, it will be a bid of $$360,000.$ Railways really wants to win the bid

$($a$)$ Given the above scenario, what decision does Railways need to make and what is the state of nature?

$($b$)$ Prepare a profit payoff table from Railways' point of view.

$($c$)$ What decision would be made if Railways used the optimistic approach?