Shamrock Oil owns a parcel of land that has the potential to be an underground oil field. It will cost $$450,000$ to drill for oil. If oil does exist on the land, Shamrock will realize a payoff of $$5,000,000$

$($not including drilling costs$).$ With current information, Shamrock estimates that there is a $0\mathrm{.}2$ probability that oil is present on the site. Shamrock also has the option of selling the land as is for

$$500,000,$ without further information about the likelihood of oil being present. A third option is to perform geological tests at the site, which would cost $$50,000.$ There is a $40\%$ chance that the test

results will be positive, after which Shamrock can sell the land for $$700,000$ or drill the land, with a $0\mathrm{.}70$ probability that oil exists. If the test results are negative, Shamrock can sell the land for

$$40,000$ or drill the land, with a $0\mathrm{.}05$ probability that oil exists. Using a decision tree, recommend a course of action for Shamrock Oil.

Choose the correct decision tree that corresponds to the options of Shamrock Oil. Note that all payoffs are in thousands of dollars.

A$.$

B$.$

C$.$

D$.$