A manager is trying to decide whether to build a small, medium, or large facility. Demand can be low, average, or high, with the estimated probabilities being $0\mathrm{.}40,0\mathrm{.}35,$ and $0\mathrm{.}25,$ respectively.

the small facility is expected to earn $$50,000$ and can be expanded to medium size to earn $$80,000$ or to large size to earn $$165,000.$

net payoff of $$145,000.$

Choose the correct decision tree below. Note that each payoff is given in thousands $($$$000).$

A$.$

C$.$

D$.$

What should management do to achieve the highest expected payoff?

$.($Enter your response as a whole number.$)$