Bill Holliday is not sure what he should do$.$ He can build a quadples $($i$.$e$.,$ a building with four apartments$),$ build a duplex, gather additional information, or simply do nothing. If he gathers additional information, the results could be either favorable or unfavorable, but it would cost him $$3,000$ to gather the information. Bill believes that there is a $50-50$ chance that the information will be favorable. If the rental market is favorable, Bill will earn $$15,000$ with the quadplen or $$5,000$ with the duplex. Bill doesnt have the financial resources to do both. With an unfavorable rental market, however, Bill could lose $$20,000$ with the quadplex or $$10,000$ with the duplex. Without gathering additional information, Bill estimates that the probability of a favorable rental markey is $0\mathrm{.}7.$ A favorable report from the study would increase the probability of a favorable rental market to $0\mathrm{.}9.$ Furthermore, an unfavorable report from additional information would decrease the probability of a favorable rental market to $0\mathrm{.}4.$ Df course, Bill could forget all of these numbers and do nothing. what is your advice to Bill? cdots BLILL A DECISION TREE"

The above summarizes information assuming no additional

information is gathered.

Cost of gathering info. is $$3000$

Hint: You'll need to update some of the values in it using the

problem statement before labeling parts of your decision tree.