formulate the following decision proble using a decision tree. Danny, who has been injured by Manny in an automobile acident, has applied to Manny's insurance company for compensations. The company has responded with an offer of $$10,000,$ Danny is considering hiring a lawyer to damenad $50,000.$ If Danny hires a lawyer to damand $$50,000,$ Manny's insurance company will respnd by either offering $10,000$ again or offering $25,000.$ If they offer $25,000,$ Danny plans to take it$.$ If they offer $10,000,$ Danny will decide whether or not to sue. If he diecides no to sue he will get $10,000.$ If he dicides to sue, he will win or lose. If he wins, he can expect $50,000.$ If he loses, he will get nothing $($ to simplify this problem, Ignore Danny's legal fees,, and the emotional, temporal, and other costs of not settling for $10,000.)$ Mimickin the method used at the end of this section, reformulate danny's decision problem using a decision table.